Topic 2 Review - Logic and Proof

What is the correct compound statement?

• p ∧ q

• p ∨ ~q

• p

• p ∧ ~q

What is the correct compound statement?

• q

• q ∨ p

• ~ p ∧ q

• p ∧ ~ q

What is the correct compound statement?

• q ∧ p

• q ∨ p

• ~ p ∧ ~ q

• ~ p ∨ ~ q

What is the correct compound statement?

• q ∧ p

• q ∨ p

• ~ p ∧ ~ q

• ~ p ∨ ~ q

Shade the region indicated by the compound statement "p"

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Shade the region indicated by the compound statement " ~p ∧ q"

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If a quadrilateral has one pair of parallel sides, then the quadrilateral is a trapezoid.

What is the Hypothesis?

• If a quadrilateral has one pair of parallel sides

• A quadrilateral has one pair of parallel sides

• Then the quadrilateral is a trapezoid.

• The quadrilateral is a trapezoid.

If a quadrilateral has one pair of parallel sides, then the quadrilateral is a trapezoid.

What is the Conclusion?

• If a quadrilateral has one pair of parallel sides

• A quadrilateral has one pair of parallel sides

• Then the quadrilateral is a trapezoid.

• The quadrilateral is a trapezoid.

If p → q what is the inverse?

•  ~ p → ~ q

• q → p

•  ~ q →  ~ p

• p ↔ q

If p → q what is the converse?

•  ~ p → ~ q

• q → p

•  ~ q →  ~ p

• p ↔ q