Answer: Choice A
If x^2 = 49, then x = 7. False.
===========================================================
Explanation:
The template for any conditional expression is "If P, then Q". The P and Q are placeholders for any logical statement.
In this case, P holds the place of "x = 7" and Q holds the place of "x^2 = 49"
When forming the converse, we simply swap the locations of P and Q.
The converse of "If P, then Q" is "If Q, then P".
So If x^2 = 49, then x = 7 will be part of the answer. The order is important.
As you can probably guess, this converse is false because there's the possibility that x = -7 which isn't mentioned. Note that x^2 = (-7)^2 = 49 to show that x = -7 is a solution to x^2 = 49.
In other words, if x^2 = 49, then x = 7 or x = -7. We can shorten this to saying [tex]x = \pm 7[/tex]
So this is why choice A is the final answer.
