Solving Inequalities

Solve the inequality: 5 + x > 12

• x > 7

• x > 5

• x < 7

• x < 5

On a number line, which of the following represents the inequality x ≤ -3?

• A closed circle on -3 with a line extending to the left

• An open circle on -3 with a line extending to the left

• A closed circle on -3 with a line extending to the right

• An open circle on -3 with a line extending to the right

Solve the multi-step inequality: 3(2x - 4) ≤ 6x + 9

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7

Write an inequality for the following word problem and solve it: "A number decreased by 9 is more than 15."

• x - 9 > 15; x > 24

• x - 9 < 15; x < 24

• x + 9 > 15; x > 6

• x + 9 < 15; x < 6

Which of the following is a solution to the compound inequality 2 < x + 3 ≤ 5?

• x = 0

• x = 1

• x = 2

• x = 3

Graph the inequality on a number line: -2x > 4

• An open circle on -2 with a line extending to the left

• An open circle on 2 with a line extending to the right

• An open circle on -2 with a line extending to the right

• An open circle on 2 with a line extending to the left

Solve the inequality and represent the solution on a number line: 4 - 2x < 10

• x > -3

• x < -3

• x > 3

• x < 3

Identify the solution to the compound inequality: -3 ≤ 2x - 1 < 5

• -1 ≤ x < 3

• -2 ≤ x < 2

• 1 ≤ x < 3

• -1 ≤ x < 2