The contrapositive statement is:
If x ≠ 2, then x^2 ≠ 4
And it is false.
How to write the contrapositive statement?
First, we have two propositions:
p = "x^2 = 4"
q = "x = 2"
The contrapositive statement is:
¬q → ¬p
The negation of the propositions are:
¬q = "x ≠ 2"
¬p = "x^2 ≠ 4"
Then the contrapositive statement with the given propositions is:
If x ≠ 2, then x^2 ≠ 4
Now, is this statement true?
No, because we can have:
x = -2 (which is different than 2, so the hypothesis is true)
and x^2 = (-2)^2 = 4
Then the conclusion is false, so the statement is false.
If you want to learn more about conditional statements:
https://brainly.com/question/11073037
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