Question

Write the contrapositive of the statement. Then use the contrapositive to determine whether to conditional statement is true or false. If 10 does not divide the counting number, then 5 does not divide the counting number.

A. If 5 divides the counting number, then 10 divides the counting number. false

B. If 10 divides the counting number, then 5 divides the counting number. true

C. If 10 divides the counting number, then 5 divides the counting number. false

D. If 5 divides the counting number, then 10 divides the counting number. true

Answer 1

Starting with p ->q, the contrapositive is -q->-p
p = "10 does not divide the counting number"
q = "5 does not divide the counting number"

Answer 2

So is the answer gonna be (either A or D) or (either B or C) ?

Answer 3

that does not help me

Answer 4

This sentence:
" If 10 does not divide the counting number, then 5 does not divide the counting number."
is in the form p -> q.......These symbols stand for "If p, then q" . Does that make sense?

Answer 5

That helps some thanks

Answer 6

Maybe we should forget about symbols. Look at it this way.
The contrapositive of "If p, then q" is "If not q, then not p".....perhaps that makes more sense.

Answer 7

The contrapositive of "If it is cloudy, it is raining." is "If it is not raining, it is not cloudy".

Answer 8

That does Thanks

Answer 9

The contrapositive of "If the baby is not a girl, he will not be happy" is
"If he is happy, the baby is a girl."