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JAMB 2014 · UTME · Q18

Solve the inequality x2+34≤5x6−712\frac x2 + \frac34 \le \frac{5x}{6} - \frac{7}{12}.

Worked solution (try it first)
  1. Multiply every term by 12, the LCM of 2, 4, 6 and 12: 6x+9≤10x−76x + 9 \le 10x - 7.
  2. Subtract 6x6x and add 7 to both sides: 16≤4x16 \le 4x.
  3. Divide by 4: 4≤x4 \le x, that is x≥4x \ge 4, option B.

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