Attempting to solve for x x/-5 > -7

Question

Neg x neg = pos

must use the inversion -5/x in order for x=1

then multiplying -7 x -5 = 35

therefore x > 35

Answer 1

Yes, David, that is correct, with one minor tweak.  Doing it your way, you have to multiply both sides by the inversion. (-5/x)(x/-5) > -7(-5/x)

                1 > 35/x

You then have to multiply both sides by x to get x >35.

 

 

What you are wanting to do is multiply both sides by just the denominator.  

 

(-5)(x/-5) > (-7)(-5)

            x > 35

 

You are mixing the two, but you have to do the same thing to both sides, so you have to pick one or the other!