Question

If ax-a>2a and x-1<-2

Answer 1

Ax-a>2
x-1<-1

ok, in the first one, we can undistribute the a

ax-a>2
a(x-1)>2
and we known that x-1<-1, so x-1 is negative
we can assign c for x-1 to do c<-1 then

a(c)>2
ac>2
so if c is negative, then therefor a must also be negve to produce greater than 2
hmm, we see 2 choices that work, B and D

hmm, if c=-1.5
then a has to be 0.75
that is a possible solution so therefor B is false


the answer is D