CONDITIONAL STATEMENTS Section 2 3 Conditional Statements Conditional

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CONDITIONAL STATEMENTS Section 2. 3

CONDITIONAL STATEMENTS Section 2. 3

Conditional Statements • Conditional statement: an “if-then” statement that contains a hypothesis and conclusion

Conditional Statements • Conditional statement: an “if-then” statement that contains a hypothesis and conclusion • Example: If you have a dog, then you have a pet. • Hypothesis: You have a dog. • Conclusion: You have a pet. • Example: If you live in Rexburg, then you live in Idaho. • Hypothesis: • Conclusion:

Conditional Statements • Rewrite each conditional statement in if-then form: • My parents will

Conditional Statements • Rewrite each conditional statement in if-then form: • My parents will let me go to the game if I get my homework done. • We will not have school if it is a holiday. • All dogs are animals. • Fridays are good days!

Counterexamples •

Counterexamples •

Converse, Inverse, Contrapositive If you live in Idaho, then you live in the United

Converse, Inverse, Contrapositive If you live in Idaho, then you live in the United States. • Converse: formed by switching the hypothesis and conclusion • Example: If you live in the United States, then you live in Idaho • Inverse: formed by negating the hypothesis and the conclusion. • Example: If you do not live in Idaho, then you do not live in the United States. • Contrapositive: formed by switching and negating hypothesis and conclusion. • Example: If you do not live in the United States, then you do not live in Idaho.

Converse, Inverse, Contrapositive • Rewrite the conditional statement in if-then form. Then write it’s

Converse, Inverse, Contrapositive • Rewrite the conditional statement in if-then form. Then write it’s converse, inverse, and contrapositive. • Every student in this class goes to Madison High School.

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