Question

Which shows the contrapositive of the conditional statement, and if the conditional statement and the contrapositive are true or false?

If |x| ≠ 3, then x ≠ 3.
(Points : 1)
A= If |x| = 3, then x = 3. The conditional statement and the contrapositive are both true.
B= If x = 3, then |x| = 3. The conditional statement and the contrapositive are both true.
C= If x = 3, then |x| = 3. The conditional statement is false and the contrapositive is true.
D= If x ≠ 3, then |x| ≠ 3. The conditional statement and the contrapositive are both false.

Answer 1

can help with the question

Answer 2

statement : `if a, then b`
contrapositive : `if NOT b, then NOT a`

Answer 3

just switch the statements and add negate them

Answer 4

is it A

Answer 5

nope, the order of statements was not switched in option A
so its not the contrapositive

Answer 6

statement : `If |x| ≠ 3, then x ≠ 3`
contrapositive : `If x = 3, then |x| = 3`

Answer 7

the right answer is B

Answer 8

oh i get it now thanks

Answer 9

yw