6. write the converse of the following true conditional statement. if the converse is false, write a counterexample:
if a < 10, then a < 15.

(1 point)

if a > 10, then a > 15; false
counterexample: a = 12 and a < 15

if a < 15, then a < 10; false
counterexample: a = 12 and a > 10

if a< 15, then a< 10; true

if a> 15, then a > 10; true

False; counterexample a = 12

Step-by-step explanation:

The statement If a < 10, then a < 15 is  a true statement because any number to the left of 10 on the number line (representing a number smaller than 10), are for sure to the left of 15 (thus representing a number smaller than 15).   But its converse:

If a<15 then a<10 is  a false statement. A clear counterexample is a=12, which is smaller than 15, but it is not smaller than 12.

step-by-step explanation:

sry but any answer choices