Solve each inequality. Give the solution set using interval notation.

$7x-2(x-3)\le 5(2-x)$

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | 3x² + x | = 14

Solve each inequality. Give the solution set using interval notation. 5 ≤ 2x -3 ≤ 7

In Exercises 59–94, solve each absolute value inequality. 5 > |4 - x|

In Exercises 59–94, solve each absolute value inequality. 1 < |2 - 3x|

In Exercises 59–94, solve each absolute value inequality. $12 < \(\left\)| -2x + \(\frac{6}{7}\) \(\right\)| + \(\frac{3}{7}\)$

Solve each absolute value inequality. 4 + |3 - x/3| ≥ 9

In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. $y_1 = \(\frac{x}{2}\) + 3, \(\quad\) y_2 = \(\frac{x}{3}\) + \(\frac{5}{2}\), \(\quad\) \(\text{and}\) \(\quad\) y_1 \(\leq\) y_2$