Question

Solve the following inequality algebracially -2 < x/3 + 1 <5

Answer 1

-9 < x < 12

Explanation:

`-2<(x)/(3)+1<5\qquad\text{subtract 1 from both sides}\\\\-2-1<(x)/(3)+1-1<5-1\\\\-3<(x)/(3)<4\qquad\text{multiply both sides by 3}\\\\(3)(-3)<3\!\!\!\!\diagup^1\cdot(x)/(3\!\!\!\!\diagup_1)<(3)(4)\\\\-9<x<12`