Solve the compound inequality and choose the correct interval representation of its…

MATHEMATICS · Single correct · AoPS · Mathematics · Introduction to Inequalities · Introduction to Inequalities

Problem

Solve the compound inequality

\tfrac{1}{2}(4x-6) < 3x+1 \le x+7

and choose the correct interval representation of its solution set. (a)

(-\infty,\,3]

(b)

(-4,\,3]

(c)

[-4,\,3)

(d)

(-4,\,4]