Question

Which of these true conditional statements has a false converse ?

Answer 1

B has a false converse.
let's make it into converse.
if x>5, then x>10.
this doesn't make sense because x could be 6 and 6 is smaller than 10

Answer 2

Option B has a false converse.

Explanation:

When we switch the hypothesis and conclusion of a conditional statement, then it is called the converse of that statement.

Here options A and C have a true converse.

If n is even then it is divisible by 2.

If 2x=4, then x=2.

But if x>10, then x>5 does not have a true converse.

We can write the converse as : if x>5 , then x>10 . This cannot be necessarily true as you can have x=6 which is not >10.

Therefore, option B has a false converse.