Question

Hi I’ve already done the first one but I’m struggling with the second one also I would like to know if I’ve done the first one correctly

Answer 1

Statement:

$if\text{ 3x=0, then x}\ne0$

c)The inverse of the statement is:

$\text{if 3x}\ne0,\text{ then x=0}$

This inverse statement is not true, because for 3x not to be equal to 0, x must be a value that is not 0.

d) The contrapositive of the statement is:

$\text{if x=0, then 3x}\ne0$

The contrapositive statement is not true, because if x is equal to 0, then multiplying it by 3 must give 0.