Question

I'm confused
Medal:
Look at the statement below.

"If a number is a multiple of 4, it is divisible by 2."

Which of these is a logically equivalent statement?

If a number is not divisible by 2, it is a multiple of 4.

If a number is divisible by 2, it is a multiple of 4.

If a number is not a multiple of 4, it is not divisible by 2.

If a number is not divisible by 2, it is not a multiple of 4.
I think B, C, and D are all right

Answer 1

It is the last one.

Answer 2

ok thank you

Answer 3

you are welcome!

Answer 4

I agree.
If this statement is true: IF A then B
This must be true: If NOT B then NOT A

Answer 5

so its just the contrapositive

Answer 6

because c said
Statement: if a then b
then: if not a then not b

Answer 7

but i see two of you agree, so i will go with your choice

Answer 8

no....if a then b means that if not b then not a
it does NOT mean if not a then not b

Answer 9

oh i see

Answer 10

How the rule for divisibility by 2 explains the results:


Results of 4 ÷ 2
Since last digit of 4 is 4
4 is divisible by 2..

4 is evenly divisible by 2
4 ÷ 2 = 2
i.e. 4 = 2 • 2 = 4 + 0

How the rule for divisibility by 4 explains the results:


Results of 2 ÷ 4
The last two digits of 2 are 2

2 is not divisible by four

Therefore 2 is not divisible by four.

2 is less than 4
Note: whenever the divisor is larger, the number will not be evenly divisible.