Question

Write the contrapositive of the conditional statement and then determine if the conditional statement and the contrapositive are true or false.



If 6x ≠ 24, then x ≠ 4.



A.


If x ≠ 4, then 6x ≠ 24. The conditional statement and the contrapositive are both false.


B.


If x = 4, then 6x = 24. The conditional statement is false, and the contrapositive is true.


C.


If x = 4, then 6x = 24. The conditional statement and the contrapositive are both true.


D.


If 6x = 24, then x = 4. The conditional statement and the contrapositive are both tr

Answer 1

@LynFran

Answer 2

http://www.regentsprep.org/regents/math/geometry/gp2/lcontrap.htm

Answer 3

hi lyn

Answer 4

i level 50 now

Answer 5

@DecentNabeel

Answer 6

Given a conditional statement A⇒B, its contrapositive is ¬B⇒¬A, where ¬A is the negation of A.

As for why both are true. consider the statement itself. If x=4, then 6x=24 must be true. If 6x≠24, then x can't be 4, otherwise you have equality.

Answer 7

option B is the answer

Answer 8

are you understand @speartonion