What is the converse of the following conditional statement. Determine the truth value of the converse. If it is false, then provide a counter-example. If x < 30, then x < 40 (1 point)

Question

A If x < 40, then x < 30. True
B If x is not < 30, then x is not <40.
C If x < 40, then x < 30. False Counterexample : x = 37
D If x is not < 30, then x is not <40. Counterexample : x = 31

Answer 1

The converse of the conditional statement "If x < 30, then x < 40" is "If x < 40, then x < 30."

The truth value of the converse is False.

To provide a counterexample, we can use the value x = 37.
If x = 37, then the original statement "If x < 30, then x < 40" is true because 37 < 30 is false, so the whole statement is true.
However, for the converse statement "If x < 40, then x < 30", 37 < 40 is true, but 37 < 30 is false, so the whole statement is false.