Linear Inequalities Challenge

Graph the inequality x > 3 on a number line.

• The graph of x > 3 on a number line is a closed circle at 3 with a shaded region to the right.

• The graph of x > 3 on a number line is an open circle at 3 with a shaded region to the left.

• The graph of x > 3 on a number line is a closed circle at 3 with a shaded region to the left.

• The graph of x > 3 on a number line is an open circle at 3 with a shaded region to the right.

Solve the inequality 2x + 5 < 11.

• x ≤ 3

• x > 3

• x < 3

• x = 3

Graph the inequality x ≤ -2 on a number line.

• The graph of x ≤ -2 on a number line is an open circle at -2 with shading to the left.

• The graph of x ≤ -2 on a number line is a closed circle at -2 with no shading.

• The graph of x ≤ -2 on a number line is a closed circle at -2 with shading to the right.

• The graph of x ≤ -2 on a number line is a closed circle at -2 with shading to the left.

Solve the inequality 3x - 4 > 8.

• x = 4

• x < 4

• x > 4

• x > 8

Identify the solutions to the inequality 2x + 3 < 9.

• x < 3

• x ≤ 3

• x = 3

• x > 3

Graph the inequality x ≥ 0 on a number line.

• x < 0

• x = 0

• x > 0

• x ≥ 0

Solve the inequality 5x + 2 ≤ 17.

• x = 5

• x ≤ 3

• x > 3

• x < 2

Identify the solutions to the inequality 3x - 1 > 5.

• x = 2

• x > 5

• x < 2

• x > 2

Graph the inequality x < 4 on a number line.

• The correct graph of x < 4 on a number line is an open circle at 4 with shading to the left.

• The graph of x < 4 on a number line is a closed circle at 4 with shading to the right.

• The correct graph of x < 4 on a number line is a closed circle at 4 with shading to the left.

• The graph of x < 4 on a number line is an open circle at 4 with shading to the right.

Solve the inequality 2x - 7 < 11.

• x < 9

• x < 7

• x = 9

• x > 9