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List the integral values of x which satisfy the inequality -1 < 5 - 2x \(\geq\) 7....


Question

List the integral values of x which satisfy the inequality -1 < 5 - 2x \(\geq\) 7.

Options

A)
-1, 0, 1, 2
B)
0, 1, 2, 3
C)
-0, 1, 2, 3
D)
-1, 0, 2, 3

The correct answer is A.

Explanation:

-1 < 5 - 2x \(\geq\) 7 = -1 < 5 -2x and 5 - 2x \(\leq\) 7

= 2x < 5 + 1 and 5 - 7 \(\leq\) 2x = x < 3 and -1 \(\leq\) x

Integral value of x are -1, 0, 1, 2


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Dicussion (1)

  • -1 < 5 - 2x \(\geq\) 7 = -1 < 5 -2x and 5 - 2x \(\leq\) 7

    = 2x < 5 + 1 and 5 - 7 \(\leq\) 2x = x < 3 and -1 \(\leq\) x

    Integral value of x are -1, 0, 1, 2

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