Mathematics 4024 · O Level · Inequalities

Inequalities — practice question

(a(i))[3]

Solve the compound inequality $10 < 3(x + 1) \le 24$ for $x$.

(a(ii))[1]

State how many integers, $x$, satisfy $10 < 3(x + 1) \le 24$.

(b)[3]

Find the $3$ inequalities that describe the region shaded in the diagram.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Hence, $\frac{7}{3}<x<7$.” …