2019
Mathematics
67ca00ce0c643c71d77dee1f
Solve the inequality: -7 ≤ 9 - 8x < 16 - x
A.
-1 ≤ x ≤ 2
B.
-1 ≤ x < 2
C.
-1 < x < 2
D.
-1 < x ≤ 2
Correct Answer: -1 < x ≤ 2
Explanation
-7 ≤ 9 - 8x < 16 - x -7 ≤ 9 - 8x and 9 - 8x < 16 - x -7 - 9 ≤ -8x and -8x + x < 16 - 9 -16 ≤ -8x and -7x < 7 ∴ x ≤ 2 and -1 < x -1 < x ≤ 2.
-7 ≤ 9 - 8x < 16 - x -7 ≤ 9 - 8x and 9 - 8x < 16 - x -7 - 9 ≤ -8x and -8x + x < 16 - 9 -16 ≤ -8x and -7x < 7 ∴ x ≤ 2 and -1 < x -1 < x ≤ 2.THIS WEEK's
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