Day 2 Additional material. Negation terms 1) Negation symbol: ~ 2) Inverse statement – Put “not” in both the hypothesis and conclusion of the conditional.

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Day 2 Additional material

Negation terms 1) Negation symbol: ~ 2) Inverse statement – Put “not” in both the hypothesis and conclusion of the conditional statement. a) symbol: ~p → ~q Ex. If an animal is not an elephant, then it is not grey. Ex. If a fish is not a catfish, then it has scales.

3) Contrapositive – Put “not” in both the hypothesis and conclusion of a converse statement. Symbol: ~q → ~ p Ex. If an animal is not grey, then it is not an elephant. Ex. If a fish has scales, then it is not a catfish.

Classroom practice. Write the converse, inverse, and contrapositive of the conditional statement. Conditional: If a figure is a square, then it is a rectangle. Inverse: Converse: Contrapositive:

Student practice: Write the converse, inverse, and contrapositive of the conditional statement. Conditional statement: If you are a lawyer, then you passed the bar exam. Inverse: Converse: Contrapositive:

Based on the symbols – write the statements. Ex. p: The weather is rainy. q: The sky is cloudy. p → q _______________________________ ~q → ~p _____________________________