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Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28

Mathematics
JAMB 1992

Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28

  • A. -5 \(\leq\) x \(\geq\) 8
  • B. 5 \(\leq\) x \(\leq\) 8
  • C. -8 \(\leq\) x \(\leq\) 5
  • D. -5 < x \(\leq\) 8
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Correct Answer: Option C
Explanation

To solve -11 \(\leq\) 4 - 3x \(\leq\) 28

-11 \(\leq\) 4 - 3x also 4 -3x \(\leq\) 28

- 11 - 4\(\leq\) - 3x and -3x \(\leq\) 28 - 4

-15\(\leq\) -3x and -3x \(\leq\) 24 

i.e. x \(\leq\) 5 and  x \(\geq\) -8

∴ -8 \(\leq\) x \(\leq\) 5


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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