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.


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

@ganeshie8 im going to need help understanding this

Answer 2

@ganeshie8 if you dont mind

Answer 3

first write the contrapositive

Answer 4

statement : `if a, then b`

contrapositive : `if NOT b, then NOT a`

Answer 5

yea i know but it's just numbers

Answer 6

ok

Answer 7

statement : ` If |x| ≠ 3, then x ≠ 3`

contrapositive : `if x = 3, then |x| = 3`

Answer 8

but that doesnt appear as one of my answers

Answer 9

nvm

Answer 10

B.
If x = 3, then |x| = 3. The conditional statement and the contrapositive are both true.

Answer 11

ty!

Answer 12

again

Answer 13

yw