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JAMB Mathematics 1992 Question 16

Question 16

Inequalities

Find all values of x satisfying the inequality −11 ≤ 4 − 3x ≤ 28

  1. A.−5 ≤ x ≤ 8
  2. B.5 ≤ x ≤ 8
  3. C.−8 ≤ x ≤ 5
  4. D.−5 < x ≤ 8
Show the answer and explanation

Answer: C (−8 ≤ x ≤ 5)

Explanation

Subtract 4: −15 ≤ −3x ≤ 24. Divide by −3 and reverse the signs: 5 ≥ x ≥ −8, i.e. −8 ≤ x ≤ 5.