Solve the system of inequalities and

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

Problem

Solve the system of inequalities

3(2-x)<x+1

and

4x+5\ge3(x-2)

. Which of the following describes all possible values of

x

? (a)

x\ge -11

(b)

x>\dfrac{5}{4}

(c)

x<\dfrac{5}{4}

(d)

x\ge\dfrac{5}{4}