Question

which of the following is a counterexample for this conditional statement? if a shape is round, then it is a circle. a circle an oval a hexagon a square

Explanation:

A counterexample for a conditional statement "If \( p \), then \( q \)" is a case where \( p \) is true (the shape is round) but \( q \) is false (the shape is not a circle).

• A circle: Satisfies both \( p \) and \( q \), not a counterexample.
• An oval: Is round (so \( p \) is true) but is not a circle (so \( q \) is false), so it is a counterexample.
• A hexagon: Is not round (\( p \) is false), so it can't be a counterexample.
• A square: Is not round (\( p \) is false), so it can't be a counterexample.

Answer:

an oval