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.

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.