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JAMB Mathematics 2009 Question 17

Question 17

Inequalities

Find the range of values of x for which 3x − 7 ≤ 0 and x + 5 > 0

  1. A.−5 < x < 7/3
  2. B.−5 ≤ x ≤ 7/3
  3. C.−5 < x ≤ 7/3
  4. D.−5 ≤ x < 7/3
Show the answer and explanation

Answer: C (−5 < x ≤ 7/3)

Explanation

3x − 7 ≤ 0 gives x ≤ 7/3, and x + 5 > 0 gives x > −5. Together −5 < x ≤ 7/3.