ok so umm we have to find the inequalities by know what's less than and greater than right?

Yes, does this mean you get the two confused? If you make the sign with your left hand (<), left is less. If you make the sign with your right hand (>), Tony the Tiger says right is Grrrrrrrrreater.

The questions were easy, but didn't really make me think. And if i do get those my teacher should only assign like 3

Most of the questions were easy however my teacher loves to assign few but very tricky questions.

How do you know if a word problem wants us to have the circle opened or closed? Are there key words, or certain things we have to look for?

if the problem is a <> with the line under which means equal too, as well. You close the circle since you include the number.

I dont understand some of the questions

some of them are to trick you reread them

I don´t understand some of the questions

Some are meant to trick you just reread the problem.

i dont understand why circles need to be full or hollow

Full circle means we *include* the number: X ≥ 3 This means X can be 3 *OR* greater Hollow circle means we do *NOT* include the number: X > 3 This means X can *ONLY* be greater than 3

Whats a good way to memorize which way the line on the number line goes? I keep forgetting.

If the variable is on the left, the inequality tells you which way to draw the line. For example: x<6 Notice the inequality is pointing to the left, so your line goes to the left. x>6 Notice the inequality points to the right, the line goes to the right. Alternatively, you need to know that the smaller numbers are on the left of the number line and the larger numbers are to the right. A common tip used to help students remember what each inequality symbol means it to think of the symbol as the mouth of a hungry alligator. Its open mouth will always face the larger value. 6>x Notice, the alligator wants to eat the 6 so it is larger than x. So, x must be numbers smaller than 6 and your line would get drawn to the left. 6<x Notice, the alligator wants to eat the X, so the x is larger than 6 and your line needs to be to the right of the 6. Hope this helps.

This is very wise, and relatable.

Why does the open and close circle needed??

These show if the point counts (closed circle and use of ≥ or ≤) or does not count (open circle and use of < or >). On a coordinate plane, it turns into an solid line or a dashed line.

Main content

Operations and Algebraic Thinking 218-221

Course: Operations and Algebraic Thinking 218-221 > Unit 5

Lesson 7: Intro to inequalities with variables

Graphing inequalities review

Q: i dont understnd

This is very wise, and relatable.

Q: Why does the open and close circle needed??

These show if the point counts (closed circle and use of ≥ or ≤) or does not count (open circle and use of < or >). On a coordinate plane, it turns into an solid line or a dashed line.

CCSS.Math:

6.EE.B.8

Google Classroom

Review graphing inequalities with variables on number lines, and then try some practice problems.

Inequalities

Inequalities show the relation between two expressions that are not equal.

Below are some examples of inequalities:

9, is greater than, 7

6, space, start underline, is less than, end underline, space, a, plus, 2

x, is less than, 5

Inequalities symbols

Symbol	Meaning
is greater than	Greater than
start underline, is greater than, end underline	Greater than or equal to
is less than	Less than
start underline, is less than, end underline	Less than or equal to

Graphing inequalities with variables

We can use a number line to show the possible solutions to an inequality.

Example 1: x, is greater than, 4

An inequality like x, is greater than, 4 tells us that x can be any value greater than 4.

We can show this on a number line by putting an open circle on 4 and shading the numbers that are greater than 4.

Example 2: y, space, start underline, is less than, end underline, space, 3

If we have either the start underline, is greater than, end underline or start underline, is less than, end underline symbol in our inequality, we shade in the circle to show that the variable may be equal to that number.

For example, y, space, start underline, is less than, end underline, space, 3 is graphed as follows:

This number line shows that y is either equal to 3 or less than 3.

Want to learn more about graphing inequalities? Check out this video.

Practice

Problem 1

Current

Choose the inequality that represents the following graph.

Want to try more problems like this? Check out these exercises:
Inequality from graph
Plotting inequalities

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0409457
Posted 3 years ago. Direct link to 0409457's post “ok so umm we have to find...”
ok so umm we have to find the inequalities by know what's less than and greater than right?
Button navigates to signup pageComment on 0409457's post “ok so umm we have to find...”
(25 votes)
Answer
- David Severin
  Posted 3 years ago. Direct link to David Severin's post “Yes, does this mean you g...”
  Yes, does this mean you get the two confused? If you make the sign with your left hand (<), left is less. If you make the sign with your right hand (>), Tony the Tiger says right is Grrrrrrrrreater.
  Comment on David Severin's post “Yes, does this mean you g...”
  (31 votes)
Joshua DeVault
Posted 4 years ago. Direct link to Joshua DeVault's post “The questions were easy, ...”
The questions were easy, but didn't really make me think. And if i do get those my teacher should only assign like 3
Button navigates to signup pageButton navigates to signup page
(19 votes)
Answer
- baileydavault
  Posted 3 years ago. Direct link to baileydavault's post “Most of the questions wer...”
  Most of the questions were easy however my teacher loves to assign few but very tricky questions.
  Button navigates to signup page
  (5 votes)
sean.arnold
Posted 3 years ago. Direct link to sean.arnold's post “i dont understand why cir...”
i dont understand why circles need to be full or hollow
Button navigates to signup pageComment on sean.arnold's post “i dont understand why cir...”
(4 votes)
Answer
- Denis Orlov
  Posted 3 years ago. Direct link to Denis Orlov's post “Full circle means we *inc...”
  Full circle means we include the number:
  X ≥ 3 This means X can be 3 OR greater
  
  Hollow circle means we do NOT include the number:
  X > 3 This means X can ONLY be greater than 3
  Button navigates to signup page
  (26 votes)
hajer484786
Posted a year ago. Direct link to hajer484786's post “Whats a good way to memor...”
Whats a good way to memorize which way the line on the number line goes? I keep forgetting.
Button navigates to signup pageComment on hajer484786's post “Whats a good way to memor...”
(4 votes)
Answer
- Kim Seidel
  Posted a year ago. Direct link to Kim Seidel's post “If the variable is on the...”
  If the variable is on the left, the inequality tells you which way to draw the line. For example:
  x<6
  Notice the inequality is pointing to the left, so your line goes to the left.
  
  x>6
  Notice the inequality points to the right, the line goes to the right.
  
  Alternatively, you need to know that the smaller numbers are on the left of the number line and the larger numbers are to the right. A common tip used to help students remember what each inequality symbol means it to think of the symbol as the mouth of a hungry alligator. Its open mouth will always face the larger value.
  6>x
  Notice, the alligator wants to eat the 6 so it is larger than x. So, x must be numbers smaller than 6 and your line would get drawn to the left.
  
  6<x
  Notice, the alligator wants to eat the X, so the x is larger than 6 and your line needs to be to the right of the 6.
  
  Hope this helps.
  Comment on Kim Seidel's post “If the variable is on the...”
  (8 votes)
AarienT
Posted a year ago. Direct link to AarienT's post “i dont understnd”
i dont understnd
Button navigates to signup pageComment on AarienT's post “i dont understnd”
(3 votes)
Answer
- Mel
  Posted a year ago. Direct link to Mel's post “This is very wise, and re...”
  This is very wise, and relatable.
  Button navigates to signup page
  (10 votes)
shyanne karr
Posted a year ago. Direct link to shyanne karr's post “I dont understand some of...”
I dont understand some of the questions
Button navigates to signup pageButton navigates to signup page
(5 votes)
Answer
- WowQuestionAreasAreDead
  Posted a year ago. Direct link to WowQuestionAreasAreDead's post “some of them are to trick...”
  some of them are to trick you reread them
  Button navigates to signup page
  (5 votes)
Icedragon13
Posted 9 months ago. Direct link to Icedragon13's post “How do you know if a word...”
How do you know if a word problem wants us to have the circle opened or closed? Are there key words, or certain things we have to look for?
Button navigates to signup pageButton navigates to signup page
(6 votes)
Answer
- iLoveMath234
  Posted 6 months ago. Direct link to iLoveMath234's post “if the problem is a <> wi...”
  if the problem is a <> with the line under which means equal too, as well. You close the circle since you include the number.
  Button navigates to signup page
  (2 votes)
MALIYAH.ADGER
Posted 3 years ago. Direct link to MALIYAH.ADGER's post “I don´t understand some o...”
I don´t understand some of the questions
Button navigates to signup pageComment on MALIYAH.ADGER's post “I don´t understand some o...”
(5 votes)
Answer
- WowQuestionAreasAreDead
  Posted a year ago. Direct link to WowQuestionAreasAreDead's post “Some are meant to trick y...”
  Some are meant to trick you just reread the problem.
  Comment on WowQuestionAreasAreDead's post “Some are meant to trick y...”
  (2 votes)
Piper Hand😴
Posted 3 months ago. Direct link to Piper Hand😴's post “What is a dependent varia...”
What is a dependent variable?
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(3 votes)
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- abigail<3
  Posted 3 months ago. Direct link to abigail<3's post “yes.”
  yes.
  Comment on abigail<3's post “yes.”
  (5 votes)
RuffGirl10
Posted a year ago. Direct link to RuffGirl10's post “Why does the open and clo...”
Why does the open and close circle needed??
Button navigates to signup pageButton navigates to signup page
(3 votes)
Answer
- David Severin
  Posted a year ago. Direct link to David Severin's post “These show if the point c...”
  These show if the point counts (closed circle and use of ≥ or ≤) or does not count (open circle and use of < or >). On a coordinate plane, it turns into an solid line or a dashed line.
  Button navigates to signup page
  (4 votes)