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What is the integral value of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?...


Question

What is the integral value of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?

Options

A) -1. 0, 1, 2

B) -2, 1, 0 , -1

C) 0, 1, 2

D) -1, 0, 1

The correct answer is 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


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Dicussion (1)

  • -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

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