1. Equations & Inequalities

Use interval notation to represent all values of x satisfying the given conditions. y = 8 - |5x + 3| and y is at least 6

Use the graph of y = |4 - x| to solve each inequality.

|4 - x| ≥ 5

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.

When 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use interval notation to express the set of all numbers that satisfy this condition.

Solve and graph the solution set on a number line: (2x−3)/4 ≥ 3x/4 + 1/2

Solve each equation or inequality.

$\mid 8-5x\mid \ge 2$

Solve each equation or inequality.

$\mid 7x-3\mid >4$

Solve each equation or inequality.

$\mid 7x+8\mid -6>-3$

Solve each equation or inequality.

$\mid 4x-12\mid \ge -3$

Write each statement using an absolute value equation or inequality. p is at least 3 units from 1.

In Exercises 107–110, use graphs to find each set. [1,3) ∩ (0,4)

In Exercises 107–110, use graphs to find each set. (-2,1] ∩ [-1,3)

In Exercises 104–106, express each interval in set-builder notation and graph the interval on a number line. (-2, ∞)