https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/inequalities-using-multiplication-and-division 2022-09-02T00:40:50.359085734Z One-step inequalities examples Our discussion of linear inequalities begins with multiplying and dividing by negative numbers. Pay attention for the word "swap." Super important! Sal Khan video https://cdn.kastatic.org/googleusercontent/782Ompqpa67luL56sGw8D9CpBlPbGBVnLq-SFEKfoqm9Q4gYJttVIy0EXHLOvssExiI2_OBTWLvKuIJDpHTPO0OSLA One-step inequalities examples Our discussion of linear inequalities begins with multiplying and dividing by negative numbers. Pay attention for the word "swap." Super important! https://cdn.kastatic.org/ka-youtube-converted/PNXozoJWsWc.mp4/PNXozoJWsWc.mp4 627 Inequalities https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/e/one_step_inequalities 2025-03-01T15:52:37.13987578Z One-step inequalities Practice solving inequalities in one step. Sid Patel exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/one-step-inequalities-2 2021-06-21T15:29:13Z One-step inequalities: -5c ≤ 15 In addition to solving the inequality, we'll graph the solution. Remember to swap if you mutiply both sides of the inequality by a negative number. Sal Khan video https://cdn.kastatic.org/googleusercontent/nPJbcCblVh6md9GHQbWn6l8zUGTFO_gscTirWK-WZtYsrirMqB-3lLYbWeU1zMyQyIUJW-AlRiN_eNSRzn4cwqoALQ One-step inequalities: -5c ≤ 15 In addition to solving the inequality, we'll graph the solution. Remember to swap if you mutiply both sides of the inequality by a negative number. https://cdn.kastatic.org/ka-youtube-converted/D1cKk48kz-E.mp4/D1cKk48kz-E.mp4 174 Inequalities https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/a/one-step-inequalities-review 2024-06-04T16:33:12.961221881Z One-step inequalities review Review evaluating one-step inequalities, and try some practice problems. article https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/v/inequalities 2024-06-28T20:12:15.740285378Z One-step inequality word problem Inequalities are more than abstract concepts and exercises. They help solve real life problems. Here's an example. Sal Khan video https://cdn.kastatic.org/googleusercontent/sDYdQ0nMQ4t4kWWVKxYycJzNJ-JSqrAppH2L6KATgHDSKYy4wEG1Q1tYys3wi3I4eR-NSk6grybM1RoYfOXQixDw One-step inequality word problem Inequalities are more than abstract concepts and exercises. They help solve real life problems. Here's an example. https://cdn.kastatic.org/ka-youtube-converted/FZ2APP6-grU.mp4/FZ2APP6-grU.mp4 129 Inequalities https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-two-step-inequalities/v/solving-inequalities 2021-06-21T15:29:06Z Two-step inequalities Two-step inequalities are slightly more complicated than one-step inequalities (duh!). This is a worked example of solving ⅔>-4y-8⅓. Sal Khan video https://cdn.kastatic.org/googleusercontent/sfpmHbd_JHLq_3wm03oPd4kxRyEU5zyVRnA6kyrsj_d095nOPDK19IJd9B_sfNQysTxozH86xW_nXWiBMM26tRX- Two-step inequalities Two-step inequalities are slightly more complicated than one-step inequalities (duh!). This is a worked example of solving ⅔>-4y-8⅓. https://cdn.kastatic.org/ka-youtube-converted/y7QLay8wrW8.mp4/y7QLay8wrW8.mp4 272 Inequalities https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-two-step-inequalities/e/solving-2-step-inequalities 2026-04-07T23:17:37.123726494Z Two-step inequalities Solve inequalities that take two steps to solve. For example, solve 3x + 2 > 5. Rhonda Hughes exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-two-step-inequalities/v/writing-and-using-inequalities-3 2021-06-21T15:29:13Z Two-step inequality word problem: R&B Let's tackle this word problem together. We'll interpret the information and then construct a linear inequality to solve it. Sal Khan video https://cdn.kastatic.org/googleusercontent/fOPSgumlh92sjLcxk9v9w_1HFDp13IP5pIHEEEXevlCAXZTDp15J6eg-LCKZ2JRAbSPrRQ6quZv6pnmQEqOm9EY Two-step inequality word problem: R&B Let's tackle this word problem together. We'll interpret the information and then construct a linear inequality to solve it. https://cdn.kastatic.org/ka-youtube-converted/pbLiN8D9gAk.mp4/pbLiN8D9gAk.mp4 121 Inequalities https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-two-step-inequalities/e/interpretting-solving-linear-inequalities 2026-04-08T00:16:02.937952483Z Two-step inequality word problems Practice constructing, interpreting, and solving linear inequalities that model real-world situations. Sandy Knight exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-inequalities/v/testing-solutions-to-inequalities 2023-06-30T02:13:42.781179102Z Testing solutions to inequalities Inequalities are like puzzles where you compare two things. You can solve these puzzles by trying different numbers and seeing which ones make the puzzle true. Some numbers will work for one puzzle but not for another. It's all about finding the right fit! video https://cdn.kastatic.org/googleusercontent/k7UQgkbc4yrc4dGMT3zIECHMJ6hXoxpF4rmx874zqf57wtTO-HubiWbqqVWE9fsHnDaqJHgdnLpNLaqMf7tKW1Q Testing solutions to inequalities Inequalities are like puzzles where you compare two things. You can solve these puzzles by trying different numbers and seeing which ones make the puzzle true. Some numbers will work for one puzzle but not for another. It's all about finding the right fit! https://cdn.kastatic.org/ka-youtube-converted/Yh4TXMVq9eg.mp4/Yh4TXMVq9eg.mp4 310 Inequalities https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-inequalities/e/testing-solutions-of-inequalities 2021-06-21T15:29:05Z Testing solutions to inequalities Practice plugging in values to inequalities, like 2x<14, and checking to see if the inequalities hold true. Ben exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/v/graphical-system-of-inequalities 2021-04-19T14:43:37Z Intro to graphing systems of inequalities Learn how to graph systems of two-variable linear inequalities, like "y>x-8 and y<5-x." Sal Khan video https://cdn.kastatic.org/googleusercontent/lfLy1L-koS-sQYLuQj1Mqi5Sv3W1ypT2_9fut2r5rohPQgoViVtQhmcTMq5w1RhpeoByJY-btJAX63biYX_B6A0 Intro to graphing systems of inequalities Learn how to graph systems of two-variable linear inequalities, like "y>x-8 and y<5-x." https://cdn.kastatic.org/ka-youtube-converted/CA4S7S-3Lg4.mp4/CA4S7S-3Lg4.mp4 336 Inequalities https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/v/graphing-systems-of-inequalities-2 2021-04-19T14:43:38Z Graphing systems of inequalities Sal graphs the solution set of the system "y≥2x+1 and y<2x-5 and x>1." Sal Khan video https://cdn.kastatic.org/googleusercontent/yWVBHa_tX5ZYKZpYpyXDA7Z5ZS7MvjNc3jG2s4fgdrQDTNoGS117c8sx0ET1Of1b2ETZoMgC7F7oQ_HSK83ORXxR Graphing systems of inequalities Sal graphs the solution set of the system "y≥2x+1 and y<2x-5 and x>1." https://cdn.kastatic.org/ka-youtube-converted/YjT3QYfoy4Q.mp4/YjT3QYfoy4Q.mp4 204 Inequalities https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/a/graphing-inequalities-x-y-plane-review 2022-09-10T01:04:29.754011735Z Graphing inequalities (x-y plane) review We graph inequalities like we graph equations but with an extra step of shading one side of the line. This article goes over examples and gives you a chance to practice. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/e/graphing_systems_of_inequalities_2 2026-03-10T04:30:37.966653692Z Systems of inequalities graphs Find the graph that represents the solution to a system of inequalities. Sid Patel exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/v/compound-inequalities-3 2020-12-28T16:56:57Z Double inequalities Sal solves the double inequality -16≤3x+5≤20, which is the same as the compound inequality -16≤3x+5 AND 3x+5≤20. Sal Khan video https://cdn.kastatic.org/googleusercontent/yDq-84xqAIvcq2jOyqAh1FYtvDsRtkA2FkhKSPJxPKImhNw_5d4nrBHD5lSXO7xOCD-1Jrnri-T_GNZxWtpoi-uf Double inequalities Sal solves the double inequality -16≤3x+5≤20, which is the same as the compound inequality -16≤3x+5 AND 3x+5≤20. https://cdn.kastatic.org/ka-youtube-converted/cvB8b4AACyE.mp4/cvB8b4AACyE.mp4 268 Inequalities https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/v/compound-inequalities 2020-12-28T16:56:58Z Compound inequalities examples Sal solves several compound linear inequalities. Sal Khan video https://cdn.kastatic.org/googleusercontent/f0JBEVXuTvr9usGLz9PZpyWqXZ6YnGVZObPjdONxt2pWrOLqwuHvBi9i5S7Lbtld34iV3SRaK1iozipI2KkGSuqQNw Compound inequalities examples Sal solves several compound linear inequalities. https://cdn.kastatic.org/ka-youtube-converted/A3xPhzs-KBI.mp4/A3xPhzs-KBI.mp4 705 Inequalities https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/v/graphing-inequalities 2021-04-19T14:43:38Z Intro to graphing two-variable inequalities Learn how to graph two-variable linear inequalities like y≤4x+3. Sal Khan video https://cdn.kastatic.org/googleusercontent/oJ1MXviVfQcvFXZSG2tpn7N8uL_13uo91-4-vRfoEzLXLab_Re8mUWpsguxW8cSrPk1ounVR-lSWOWm0rBorl-JK Intro to graphing two-variable inequalities Learn how to graph two-variable linear inequalities like y≤4x+3. https://cdn.kastatic.org/ka-youtube-converted/unSBFwK881s.mp4/unSBFwK881s.mp4 483 Inequalities https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/v/graphing-linear-inequalities-in-two-variables-example-2 2021-04-19T14:43:37Z Graphing two-variable inequalities Sal graphs the inequality y<3x+5. Sal Khan video https://cdn.kastatic.org/googleusercontent/8N4_0ce-iNEn3iahkD7NeBadYMN31nd2_LNfvksZQTUgqXywH03atbMfz1wOUJjUvoKNSA8CYj3OYBTlAefpkSeQog Graphing two-variable inequalities Sal graphs the inequality y<3x+5. https://cdn.kastatic.org/ka-youtube-converted/FnrqBgot3jM.mp4/FnrqBgot3jM.mp4 183 Inequalities https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/e/graphing_inequalities_2 2025-03-03T19:47:54.930712342Z Graphs of inequalities Graph two-variable linear inequalities. Sid Patel exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/v/graphing-linear-inequalities-in-two-variables-3 2021-04-19T14:43:38Z Two-variable inequalities from their graphs Sal is given a graph and he analyzes it to find the two-variable inequality it represents. Sal Khan video https://cdn.kastatic.org/googleusercontent/HMBYuRFjEXNu_krpB30D-VqPJp_OVoPHNxaoEotxNehalLztEVUuJoiN0toDXSa8oZGwJZm5iC_DXdzFxR2h2V9fAQ Two-variable inequalities from their graphs Sal is given a graph and he analyzes it to find the two-variable inequality it represents. https://cdn.kastatic.org/ka-youtube-converted/YBYu5aZPLeg.mp4/YBYu5aZPLeg.mp4 200 Inequalities https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:inequalities-systems-graphs/x2f8bb11595b61c86:graphing-two-variable-inequalities/e/graphs_of_inequalities 2023-12-12T00:32:03.629852833Z Two-variable inequalities from their graphs Fit an algebraic two-variable inequality to its appropriate graph. Sid Patel exercise