Write the converse of the following true conditional statement

Asked by maham237 @ in Mathematics viewed by 302 People

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

Answered by maham237 @


Answer:

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.


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