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,

Question

A If x is not < 30, then x is not <40. 

B If x < 40, then x < 30. False Counterexample: x = 37

C If x < 40, then x < 30. True

D If x is not < 30, then x is not <40. 
Counterexample : x = 31

Answer 1

The converse of the given conditional statement is:

If x < 40, then x < 30.

The truth value of the converse is False.

A counterexample is x = 37 because it satisfies the condition x < 40 but does not satisfy the condition x < 30.