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List all integers satisfying the inequality -2 \(\leq\) 2 x -6 < 4

Mathematics
JAMB 1985

List all integers satisfying the inequality -2 \(\leq\) 2 x -6 < 4

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

-2 \(\leq\) 2x - 6 < 4 = 2x - 6 < 4

= 2x < 10

= x < 5

2x \(\geq\) -2 + 6 \(\geq\)

= x \(\geq\) 2

∴ 2 \(\leq\) x < 5 [2, 3, 4]


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