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What are the integer values of x which satisfy the inequality -1

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
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