Question

Consider the inequalityThe solution set of the inequality is: 3-1-x<-2x-3xSelect oneX>32X<32X>23X<23

Answer 1

we have

3-1-x<-2x-3x

Solve for x

Combine like terms both sides

2-x < -5x

2 < -5x+x

2<-4x

Multiply by -1 both sides

-2 > 4x

-2/4 > x

-1/2 > x

Rewrite

x < -1/2

therefore

If the inequality is 3-1-x<-2x-3x

then

the solution is

x < -1/2