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What are the integer values of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?

Mathematics
JAMB 2004

What are the integer values of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?

  • A. -1. 0, 1, 2
  • B. -2, 1, 0 , -1
  • C. 0, 1, 2
  • D. -1, 0, 1
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Correct Answer: Option D
Explanation

-1 < 3 -2x and 3 - 2x \(\leq\) 5
2x < 3 + 1 and -2x \(\leq\) 5 - 3
2x < 4 and -2x \(\leq\) 2
x < 2 and x \(\geq\) 2/-2 = x \(\geq\) -1
If -1 \(\leq\) x < 2
it implies that x = -1, 0, 1

There is an explanation video available below.


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Explanation Video

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