JAMB 2010 · UTME · Q20

Solve the inequalities $-6 \le 4 - 2x < 5 - x$ .

Worked solution (try it first)

Split it into two inequalities.
First, $-6 \le 4 - 2x$ : add $2x$ and 6 to both sides to get $2x \le 10$ , so $x \le 5$ .
Second, $4 - 2x < 5 - x$ : add $2x$ and subtract 5 from both sides to get $-1 < x$ .
Both must hold: $-1 < x \le 5$ , option B.