Write the converse of the following true conditional statement. If the converse is false write an counterexample.

Question

If x > 9, then x < 0.

A. If x > 9, then x < 0 ; False

counterexample x = 8 and x > 0

B. If x < 0 then x <9 ; True

C. If x < 9, then x < 0 ; False

counterexample x = 2 and x > 0

D. If x > 0 then x > 9 ; False

counterexample x = 2 and x < 9

Answer 1

The converse switches the if and then.

If it's raining, the grass is wet.

If the grass is wet, it is raining ----> not true.

If the grass is wet, the sprinklers are on.

Your answer is B.