| 4 x − 8 | ≤ 10 − 10 ≤ 4 x − 8 ≤ 10 − 10 ≤ 4 x − 8 − 2 ≤ 4 x / : 4 1 2 ≤ x 4 x − 8 ≤ 10 4 x ≤ 18 / : 4 x ≤ 4 1 2 − 1 2 < x < 4 1 2 {\displaystyle {\begin{aligned}&|4x-8|\leq 10\\&-10\leq 4x-8\leq 10\\&\color {blue}-10\leq 4x-8\\&\color {blue}-2\leq 4x/:4\\&\color {blue}{\frac {1}{2}}\leq x\\&\color {red}4x-8\leq 10\\&\color {red}4x\leq 18/:4\\&\color {red}x\leq 4{\frac {1}{2}}\\&\color {Violet}-{\frac {1}{2}}<x<4{\frac {1}{2}}\\\end{aligned}}}
