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List all integer values of x satisfying the inequality -1 < 2x - 5 \(\leq\)...

Mathematics
JAMB 1980

List all integer values of x satisfying the inequality -1 < 2x - 5 \(\leq\) 5

  • A. <2, 3, 4, 5
  • B. 3, 4, 5
  • C. 2, 3, 4
  • D. 3, 4
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Correct Answer: Option B
Explanation

\(-1 < 2x - 5 \leq 5\)

\(\implies -1 + 5 < 2x - 5 + 5 \leq 5 + 5\)

\(4 < 2x \leq 10\)

\(\implies 2 < x \leq 5 \)

= 3, 4, 5.

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