JAMB 2011 · UTME · Q19

Solve the inequality −6(x+3)≤4(x−2)-6(x + 3) \le 4(x - 2).

Worked solution (try it first)
  1. Expand both brackets: −6x−18≤4x−8-6x - 18 \le 4x - 8.
  2. Add 6x6x and 8 to both sides: −10≤10x-10 \le 10x.
  3. Divide by 10: −1≤x-1 \le x, that is x≥−1x \ge -1, option B.

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