Math 119AW Test #3 Review

Solve and graph the solution set on a number line. |x + 7| < 6

(-13, -1)

Solve and graph the solution set on a number line. |7x + 9| + 1 < 7

(-15/7, -3/7)

Solve the inequality. Other than empty set, write your answer in INTERVAL NOTATION and show it on the number line. (x - 3/9) ≥ (x - 5/12) + (1/36)

(-2, ∞)

Solve the inequality. Other than empty set, write your answer in INTERVAL NOTATION and show it on the number line. 8x - 10 ≤ 2x - 15

(-∞, -5/6)

Solve the inequality. Other than empty set, write your answer in INTERVAL NOTATION and show it on the number line. -2(2x - 8 ) < -6x + 2

(-∞, -7)

Solve and graph the solution set on a number line. 3(x + 1) +9 ≥ 15

(-∞, -9] ∪ [1, ∞)

Solve and graph the solution set on a number line. |x - 9| > 9

(-∞, 0) U (18, ∞)

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation. x ≤ 3 and x ≤ 1

(-∞, 1)

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation. -4x ≤ -12 or 4x > 12x - 8

(-∞, 1) U [3, ∞)

Solve and graph the solution set on a number line. |2x - 9| - 4 > 4

(-∞, 1/2) U (17/ 2, ∞)

Solve the inequality. Other than empty set, write your answer in INTERVAL NOTATION and show it on the number line. 4x + 1 < 29

(-∞, 7)

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation. -4x + 1 ≥ 9 or 6x + 3 ≥ -21

(-∞, ∞)

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation. -31 ≤ -4x - 3 < -15

(3, 7]

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation. -4x < -12 and x +4 > 5

(3, ∞)

Find the intersection of the sets. {-5, -1, 2, 6} ∩ {-4, 1, 5, 8}

Empty set

Find the solution for the equation. |7x - 7| + 4 = 1

Empty set

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation. x +6 < 3 and -6x < -6

Empty set

Solve and graph the solution set on a number line. |3(x + 1) +6| ≤ 9

[-6, 0]

Find the solution for the equation. |7x + 6| + 9 = 13

{(-2/7), (-10/7)}

Find the solution for the equation. |x - 5| = 4

{1, 9}

Find the solution for the equation. | 2x + 5/3 | = 3

{2, -7}

Find the intersection of the sets. {-4, 0, 2, 5} ∩ {2, 5, 8}

{2, 5}

Find the union of the sets. {-5, -2, 1, 4} ∪ {1, 4, 7}

{5, -2, 1, 4, 7}

Find the solution set for the equation. 3|x - 3| = 18

{9, -3}