Determine the truth value of the converse. If it is false then provide a counter example. If x<30, then x <40

1 answer

The converse of the statement "If x < 30, then x < 40" is "If x < 40, then x < 30."

To determine the truth value of the converse, we can evaluate it using a counter example:

Counter example: Let x = 35.

According to the converse, if x < 40, then x < 30. However, in this case, x = 35 which satisfies the condition x < 40, but it does not satisfy the condition x < 30.

Therefore, the converse is false.