Question

which of the following is a counterexample for this conditional statement? if the hands of a clock are perpendicular, then the time is 3:00. 9:00 6:35 3:00 1:15

Explanation:

Step1: Understand counterexample

A counterexample for a conditional statement "If \( p \), then \( q \)" is a case where \( p \) is true (hands are perpendicular) but \( q \) is false (time is not 3:00).

Step2: Analyze each option

• 9:00: At 9:00, clock hands are perpendicular (p is true) and time is not 3:00 (q is false). This fits counterexample.
• 6:35: Hands not perpendicular (p false), so not counterexample.
• 3:00: Hands perpendicular and time is 3:00 (q true), not counterexample.
• 1:15: Hands not perpendicular (p false), not counterexample.

Answer:

9:00