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

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
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]