Question

If x > 7 then x > 3.

Which of the following best represents the converse of this statement, and is the converse true or false?
a. If x > 3, then x > 7. (True)
b. If x < 3, then x < 7. (False)
c. If x < 7, then x < 3. (False)
d. If x > 3, then x > 7. (True)

Answer 1

The converse of the given statement is false. The correct answer is b.

Step-by-step explanation:

The converse of the given statement is: If x>3, then x>7.

To determine if this converse is true or false, we can use counterexamples. Let's choose a value for x such that x>3 but x<7. For example, if we let x=4, then 4>3 but 4<7. This means the converse is false.

Therefore, the correct answer is b. If x<3, then x<7. (False)