MATH SOLVE

4 months ago

Q:
# 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; falsecounterexample: a = 12 and a <15If a < 15, then a < 10; falsecounterexample: a = 12 and a > 10If a<15, then a<10; trueIf a> 15, then a > 10; true

Accepted Solution

A:

Answer:False; counterexample a = 12Step-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.