-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