Question

Solve the following inequality algebraically:

-2 < x/3 +1 <5

Answer 1

Answer:−9<x<12

Explanation:

−2< x 3 +1<5

−2< 1 3 x+1<5(Simplify all parts of the inequality)

−2+−1< 1 3 x+1+−1<5+−1(Add -1 to all parts)

−3< 1 3 x<4

−3/( 1/ 3) <(1/3x)/1/3 < (4)/1/3 (Divide all parts by \,{1}/{3}\,)

−9<x<12