https://www.khanacademy.org/math/strengthened-shs-general-math/x24dc5a0902f75de5:fourth-quarter/x24dc5a0902f75de5:propositions/v/conditional-statements-and-logical-equivalence 2024-12-03T23:53:40.067739643Z Conditional statements and logical equivalence We assert that a conditional statement is true. Let's identify the converse, inverse, and contrapositive and determine whether each of them must be true based on the original statement. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Conditional statements and logical equivalence We assert that a conditional statement is true. Let's identify the converse, inverse, and contrapositive and determine whether each of them must be true based on the original statement. https://cdn.kastatic.org/ka-youtube-converted/5kojy1CHuyI.mp4/5kojy1CHuyI.mp4 344 Conditional reasoning and logical equivalence https://www.khanacademy.org/math/strengthened-shs-general-math/x24dc5a0902f75de5:fourth-quarter/x24dc5a0902f75de5:propositions/e/conditional-statements 2024-12-17T19:11:46.927047272Z Conditional statements For conditional statements, identify statements that are logically equivalent. Recognize the converse, inverse, and contrapositive of a conditional statement. Determine whether a conditional statement is a biconditional statement. Charlie Auen exercise https://www.khanacademy.org/math/grade-9-math-snc-aligned/x7d7ac579250c3cd1:logic/x7d7ac579250c3cd1:difference-between-mathematical-statement-and-proof/a/logic-toolbox--article--conditional-reasoning-logical-equivalence 2021-04-29T07:59:26Z Conditional reasoning and logical equivalence article https://www.khanacademy.org/math/strengthened-shs-general-math/x24dc5a0902f75de5:fourth-quarter/x24dc5a0902f75de5:propositions/v/biconditional-statements 2024-12-03T23:53:40.067739643Z Biconditional statements For most conditional statements, swapping the "if" and the "then" parts creates a new statement, and the new statement might not have the same truth value as the original. Biconditional statements are conditional statements that are true regardless of which clause is the "if" and which is the "then" part. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Biconditional statements For most conditional statements, swapping the "if" and the "then" parts creates a new statement, and the new statement might not have the same truth value as the original. Biconditional statements are conditional statements that are true regardless of which clause is the "if" and which is the "then" part. https://cdn.kastatic.org/ka-youtube-converted/bs5YLyGHa60.mp4/bs5YLyGHa60.mp4 221 Conditional reasoning and logical equivalence https://www.khanacademy.org/math/geometry-tx/x790e3ac3e338c450:intro-to-logic/x790e3ac3e338c450:conditional-statements/e/counterexamples 2025-04-09T21:56:19.383686923Z Identify counterexamples Identify counterexamples that show that a conjecture based on observations is false or incomplete. Charlie Auen exercise https://www.khanacademy.org/math/grade-9-math-snc-aligned/x7d7ac579250c3cd1:logic/x7d7ac579250c3cd1:difference-between-mathematical-statement-and-proof/a/logic-toolbox--article--if-x-then-y--sufficiency-and-necessity 2021-04-29T08:03:43Z If X, then Y | Sufficiency and necessity article https://www.khanacademy.org/math/grade-9-math-snc-aligned/x7d7ac579250c3cd1:logic/x7d7ac579250c3cd1:difference-between-mathematical-statement-and-proof/a/logic-toolbox--if-and-only-if 2021-04-29T07:57:17Z The Logic of "If" vs. "Only if" article