-6 \(\leq\) 4 - 2x < 5 - x split inequalities into two and solve each part as follows: -6 \(\leq\) 4 - 2x = -6 - 4 \(\leq\) -2x -10 \(\leq\) -2x \(\frac{-10}{-2}\) \(\geq\) \(\frac{-2x}{-2}\) giving 5 \(\geq\) x or x \(\leq\) 5 4 - 2x < 5 - x -2x + x < 5 - 4 -x < 1 \(\frac{-x}{-1}\) > \(\frac{1}{-1}\) giving x > -1 or -1 < x Combining the two results, gives -1 < x \(\leq\) 5