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JAMB Mathematics 2003 Question 13

Question 13

Inequalities

Find the range of the values of x satisfying the inequalities 5 + x ≤ 8 and 13 + x ≥ 7.

  1. A.−3 ≤ x ≤ 3
  2. B.3 ≤ x ≤ 6
  3. C.−6 ≤ x ≤ 3
  4. D.−6 ≤ x ≤ −3
Show the answer and explanation

Answer: C (−6 ≤ x ≤ 3)

Explanation

5 + x ≤ 8 gives x ≤ 3 and 13 + x ≥ 7 gives x ≥ −6, so −6 ≤ x ≤ 3.