Question

What is the inverse of the conditional statement " If a number is divisible by 6, then it is divisible by 3"?

A) If a number is divisible by 3, then it is divisible by 6.
B)If a number is not divisible by 6, then it is not divisible by 3.
C)If a number is not divisible by 3, then it is not divisible by 6.
D)If a number is not divisible by 6, then it is divisible by 3.

Answer 1

Let p and q be statements. Then\[p\implies q\]is a conditional statement. Its inverse is\[\neg p\implies\neg q.\]

Answer 2

Were you able to find the answer based on across's reply?

Answer 3

no

Answer 4

Want me to help?

Answer 5

please?

Answer 6

Okay, let's start by explaining what across was trying to tell you. The inverse of a conditional is "-p -> -q". "P" is the equivalent to the "if" part of the conditional and "Q" is the equivalent to the "then" part of the conditional.

Answer 7

All the inverse is, is the opposite. So, the inverse, or opposite, of the conditional "If a number is divisible by 6, then it is divisible by 3" would be "If a number is NOT divisible by 6, then it is NOT divisible by 3".

Answer 8

Do you understand how I came to that?

Answer 9

yes

Answer 10

Great, I'm glad I could help.

Answer 11

thanks

Answer 12

You're very welcome.