Question

Write the contrapositive of the conditional statement, and then determine if the conditional statement and the contrapositive are true or false.
If 4x ≠ 12, then x ≠ 3

A. If x = 3, then 4x = 12. The conditional statement and the contrapositive are both true.

B.If x ≠ 3, then 4x ≠ 12. The conditional statement and the contrapositive are both false.
C. If x = 3, then 4x = 12. The conditional statement is false and the contrapositive is true.
D. If 4x = 12, then x = 3. The conditional statement and the contrapositive are both true.

Answer 1

then contrapositive of \(P\to Q\) is \(\lnot Q\to \lnot P\)
if \(x=3\) then \(4x=4\)

a statement is always equivalent to its contrapositive

Answer 2

oops i meant if \(x=3\) then \(4x=12\)

Answer 3

Oh thanks.

Answer 4

yw