-1 < x < 5
-1 < x ≤ 5
-1 ≤ x ≤ 6
-1 ≤ x < 6
Correct answer is B
-6 ≤ 4 - 2x < 5 - x
split inequalities into two and solve each part as follows:
-6 ≤ 4 - 2x = -6 - 4 ≤ -2x
-10 ≤ -2x
−10−2 ≥ −2x−2
giving 5 ≥ x or x ≤ 5
4 - 2x < 5 - x
-2x + x < 5 - 4
-x < 1
−x−1 > 1−1
giving x > -1 or -1 < x
Combining the two results, gives -1 < x ≤ 5
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