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Solve the inequality: -7 \(\leq\) 9 - 8x < 16 - x

Mathematics
JAMB 2019

Solve the inequality: -7 \(\leq\) 9 - 8x < 16 - x

  • A. -1 \(\leq\) x \(\leq\) 2
  • B. -1 \(\leq\) x < 2
  • C. -1 < x < 2
  • D. -1 < x \(\leq\) 2
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Correct Answer: Option D
Explanation

-7 \(\leq\) 9 - 8x < 16 - x

-7 \(\leq\) 9 - 8x and 9 - 8x < 16 - x

-7 - 9 \(\leq\) -8x and -8x + x < 16 - 9

-16 \(\leq\) -8x and -7x < 7

\(\therefore\) x \(\leq\) 2 and -1 < x

-1 < x \(\leq\) 2.

There is an explanation video available below.


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Explanation Video

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