Inequalities on a Number Line

Plot the inequality x > 3 on the number line.

• The correct plot for the inequality x > 3 on the number line is a closed circle at 3 with an arrow pointing to the right.

• The correct plot for the inequality x > 3 on the number line is an open circle at 3 with an arrow pointing to the right.

• The correct plot for the inequality x > 3 on the number line is an open circle at 3 with an arrow pointing to the left.

• The correct plot for the inequality x > 3 on the number line is a closed circle at 3 with an arrow pointing to the left.

Tags

CCSS.HSA.REI.D.12

Graph the inequality y ≤ -2 on the number line.

• y < -2

• y > -2

• y ≤ -2

• y = -2

Tags

CCSS.HSA.REI.B.3

On the number line, show the solution set for the inequality z < 0.

• All real numbers less than or equal to 0, represented by the closed interval (-∞, 0]

• All real numbers greater than 0, represented by the open interval (0, ∞)

• All imaginary numbers less than 0, represented by the open interval (-∞i, 0i)

• All real numbers less than 0, represented by the open interval (-∞, 0)

Tags

CCSS.HSA.REI.B.3

Represent the inequality a ≥ 5 on the number line.

• A closed circle at 5 and a line to the left

• A closed circle at 5 and a line to the right

• An open circle at 5 and a line to the right

• A closed circle at 5 and a line to the left and right

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Draw the graph for the inequality b < -4 on the number line.

• The graph for the inequality b < -4 on the number line is a closed circle at -4 with a shaded line to the right.

• The graph for the inequality b < -4 on the number line is an open circle at -4 with a shaded line to the right.

• The graph for the inequality b < -4 on the number line is a closed circle at -4 with a shaded line to the left.

• The graph for the inequality b < -4 on the number line is an open circle at -4 with a shaded line to the left.

Tags

CCSS.HSA.REI.D.12

Plot the inequality c > 1 on the number line.

• c = 1

• c > 1

• c < 1

• c ≥ 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Graph the inequality d ≤ 7 on the number line.

• The graph of the inequality d ≤ 7 on the number line is a closed circle at 7 with no shading.

• The graph of the inequality d ≤ 7 on the number line is a closed circle at 7 with shading to the left.

• The graph of the inequality d ≤ 7 on the number line is a closed circle at 7 with shading to the right.

• The graph of the inequality d ≤ 7 on the number line is an open circle at 7 with shading to the left.

On the number line, show the solution set for the inequality e < -3.

• e < -3 can be represented as a ray to the left of -3 on the number line.

• e < -3 can be represented as a line segment from -3 to negative infinity on the number line.

• e < -3 can be represented as a point on the number line at -3.

• e > -3 can be represented as a ray to the right of -3 on the number line.

Tags

CCSS.HSA.REI.D.12

Represent the inequality f ≥ 2 on the number line.

• The number line should have a closed circle at 2 and be shaded to the right.

• The number line should have a closed circle at 2 and be shaded to the left and right.

• The number line should have a closed circle at 2 and be shaded to the left.

• The number line should have an open circle at 2 and be shaded to the right.

Draw the graph for the inequality g < 6 on the number line.

• The graph for the inequality g < 6 on the number line is a line with an open circle at 6 and shading to the left.

• The graph for the inequality g < 6 on the number line is a line with a closed circle at 6 and shading to the left.

• The graph for the inequality g < 6 on the number line is a line with an open circle at 6 and shading to the right.

• The graph for the inequality g < 6 on the number line is a line with a closed circle at 6 and shading to the right.

Tags

CCSS.HSA.REI.D.12