Question

-4(x-2)+5<9 solve the inequality

Answer 1

x > 1

Explanation:

-4(x-2)+5<9

-4(x-2)+5-5<9-5

-4(x-2)<4

-4(x-2)/4 < 4/4

-(x-2) < 1

-x+2 < 1 ==> distribute the negative sign to x and (-2)

-x+2-2 < 1-2 ==> isolate x

-x < -1

x > 1 ==> switch the sign when dividing by a negative number