In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 5(x - 2) - 3(x + 4) ≥ 2x - 20

In Exercises 51–58, solve each compound inequality. 6 < x + 3 < 8

In Exercises 51–58, solve each compound inequality. - 3 ≤ x - 2 < 1

In Exercises 51–58, solve each compound inequality. - 11 < 2x - 1 ≤ - 5

In Exercises 51–58, solve each compound inequality. - 3 ≤ (2/3)x - 5 < - 1

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

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

In Exercises 59–94, solve each absolute value inequality. |x + 3| ≤ 4

In Exercises 59–94, solve each absolute value inequality. |2x - 6| < 8

In Exercises 59–94, solve each absolute value inequality. |3x + 5| < 17

In Exercises 59–94, solve each absolute value inequality. |2(x - 1) + 4| ≤ 8

In Exercises 59–94, solve each absolute value inequality. |x| > 3

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

In Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7

In Exercises 59–94, solve each absolute value inequality. |(2x + 2)/4| ≥ 2

In Exercises 59–94, solve each absolute value inequality. |3 - (2/3)x| > 5

In Exercises 59–94, solve each absolute value inequality. 3|x - 1| + 2 ≥ 8

In Exercises 59–94, solve each absolute value inequality. - 2|x - 4| ≥ - 4

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

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. $12 < \left| -2x + \frac{6}{7} \right| + \frac{3}{7}$

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

Use interval notation to represent all values of x satisfying the given conditions. y = |2x - 5| + 1 and y > 9

Use the table to solve each inequality. - 3 < 2x - 5 ≤ 3

When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use interval notation to express the set of all numbers that satisfy this condition.

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x-5 = 7

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7(x-4) = x + 2

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2(x-4)+3(x+5)=2x-2

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7x + 13 = 2(2x-5) + 3x + 23