Compound Inequalities Quiz

Solve the compound inequality: 2x + 3 > 7 and 4x - 5 < 15.

• x < 2

• 2 < x < 5

• x > 7

• x > 5

Graph the compound inequality: -3 < x + 2 ≤ 5.

• -5 < x + 2 ≤ 3

• -3 < x + 2 ≤ 3

• -5 < x ≤ 3

• -5 < x + 2 ≤ 5

Write a compound inequality for the graph shown below: [Graph with a closed circle at -2 and an open circle at 4, shading between them].

• -2 < x ≤ 4

• -2 < x < 4

• -2 ≤ x ≤ 4

• -2 ≤ x < 4

Solve the compound inequality: |3x - 2| ≥ 10.

• x ≤ -8/3 or x ≥ 4

• x ≤ -8/3 or x ≥ 5

• x ≥ -8/3 or x ≥ 4

• x ≤ -8/3 or x ≤ 4

Solve the compound inequality: 2/3 ≤ x + 1/4 < 5/6.

• 1/2 ≤ x < 2/3

• 3/4 ≤ x < 1

• 1/3 ≤ x < 1/2

• 5/12 ≤ x < 7/12

Graph the compound inequality: -2x + 3 > 5 or 4x - 2 < 10.

• The graph of the compound inequality is a number line with an open circle at -1, shading to the right, and an open circle at 3, shading to the right.

• The graph of the compound inequality is a number line with a closed circle at -1, shading to the left, and an open circle at 3, shading to the left.

• The graph of the compound inequality is a number line with a closed circle at -1, shading to the right, and an open circle at 3, shading to the right.

• The graph of the compound inequality is a number line with an open circle at -1, shading to the left, and an open circle at 3, shading to the left.

Write a compound inequality for the graph shown below: [Graph with a closed circle at -1 and an open circle at 3, shading to the left].

• -1 < x ≤ 3

• -1 < x < 3

• -1 ≤ x ≤ 3

• -1 ≤ x < 3

Solve the compound inequality: |2x + 1| < 7.

• -5 < x < 4

• -3 < x < 3

• -4 < x < 3

• -4 < x < 2

Solve the compound inequality: 3/4 ≤ 2x - 1/2 < 5/8.

• 5/8 ≤ x < 9/16

• 9/16 ≤ x < 5/8

• 1/2 ≤ x < 5/8

• 5/8 ≤ x < 1/2

Graph the compound inequality: -3x + 2 ≥ 4 and 5x - 1 < 9.

• The graph of the compound inequality is x ≥ -2/3 and x < 2.

• The graph of the compound inequality is x ≤ -2/3 and x > 2.

• The graph of the compound inequality is x ≥ -2/3 and x > 2.

• The graph of the compound inequality is x ≤ -2/3 and x < 2.