Conditional Statements. 1) To recognize conditional statements and their parts. 2) To write converses, inverses, and contrapositives of conditionals.

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Conditional Statements

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Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements

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Presentation transcript:

Conditional Statements

1) To recognize conditional statements and their parts. 2) To write converses, inverses, and contrapositives of conditionals.

1) If today is the first day of fall, then the month is September. Hypothesis: Conclusion: 2) If y -3 = 5, then y = 8 Hypothesis: Conclusion:

1) A rectangle has 4 right angles. Conditional: 2) A tiger is an animal. Conditional:

1) An integer that ends in 0 is divisible by 5. Conditional: 2) A square has 4 congruent sides. Conditional:

 Every conditional has a truth-value - it’s either true or false For a conditional to be true: - Hypothesis (true) and Conclusion (true) – ALWAYS For a conditional to be false: -Hypothesis (true) and Conclusion (false) – Only need to find ONE counterexample.

State if the conditional is true or false. If it is false, then give a counterexample. 1) If a number is divisible by 3, then it is odd. 2) If an angle measures 130 degrees, then the angle is obtuse.

The negation of a statement p is the opposite of the statement. The symbol is ~p and is read “not p”. Example 1) “The sky is blue” “The sky is not blue” Example 2) “The day is not Friday.” Negation: “.”

If it is December 25 th, then you are not in school. 1) Converse: switches the hypothesis and the conclusion Example) If you are not in school, then it is December 25 th. 2) Inverse: Negate both the hypothesis and the conclusion of the conditional Example) 3) Contrapositive: Negate both the hypothesis and the conclusion of the converse Example)

Find each and the truth value. If a vegetable is a carrot, then it contains beta carotene. Converse: Inverse: Contrapositive:

HW: mathxlforschool.com Due midnight.