Graphing Inequalities on a Number Line

What does the inequality x > -1 represent?

• The graph includes all numbers less than -1, represented with a closed circle at -1 and a line extending to the left.

• The graph includes all numbers greater than -1, represented with an open circle at -1 and a line extending to the right.

• The graph includes only the number -1, represented with a closed circle at -1.

• The graph includes all numbers greater than or equal to -1, represented with a closed circle at -1 and a line extending to the right.

Tags

CCSS.6.EE.B.8

How do you graph the inequality 3 ≤ x < 7?

• Draw a solid dot at 3, an open circle at 7, and shade between them.

• Draw a solid dot at 3 and shade to the left.

• Draw an open circle at 3 and a solid dot at 7, shading to the right.

• Draw a solid line from 3 to 7 without any dots.

What is the meaning of the inequality a < 11?

• The graph includes all numbers less than 11, represented with an open circle at 11 and a line extending to the left.

• The graph includes all numbers greater than 11, represented with a closed circle at 11 and a line extending to the right.

• The graph includes only the number 11, represented with a closed circle at 11.

• The graph includes all numbers equal to 11, represented with an open circle at 11 and a line extending in both directions.

Tags

CCSS.6.EE.B.8

What does the inequality 0 ≤ z < 5 indicate?

• The graph includes all numbers from 0 to 5, with a solid dot at 0 and an open circle at 5.

• The graph includes all numbers from 0 to 5, with an open dot at 0 and a solid circle at 5.

• The graph includes only the number 0 and excludes 5.

• The graph includes all numbers less than 5, with a solid dot at 5.

What is the significance of using an open circle in graphing inequalities?

• An open circle indicates that the number is not included in the solution set (< or >).

• An open circle indicates that the number is included in the solution set (≤ or ≥).

• An open circle is used to represent a point on the graph that is fixed.

• An open circle indicates that the number is a boundary point for the solution set.

Tags

CCSS.6.EE.B.8

How do you represent the inequality -5 < x ≤ 2 on a number line?

• Draw an open circle at -5, a solid dot at 2, and shade between them.

• Draw a solid circle at -5, a solid dot at 2, and shade to the left.

• Draw an open circle at -5, an open dot at 2, and shade to the right.

• Draw a solid circle at -5, an open dot at 2, and shade between them.

What is the correct way to graph the inequality y > 4?

• Draw an open circle at 4 and shade above the line.

• Draw a closed circle at 4 and shade below the line.

• Draw an open circle at 4 and shade below the line.

• Draw a closed circle at 4 and shade above the line.

Tags

CCSS.6.EE.B.8

What does the inequality x ≥ -2 mean when graphed?

• The graph includes all numbers less than -2, represented with a solid dot at -2 and a line extending to the left.

• The graph includes all numbers greater than -2, represented with a solid dot at -2 and a line extending to the right.

• The graph includes all numbers greater than or equal to -2, represented with a solid dot at -2 and a line extending to the right.

• The graph includes only the number -2, represented with a solid dot at -2.

Tags

CCSS.6.EE.B.8

How do you graph the inequality x < 3?

• Draw an open circle at 3 and shade to the left.

• Draw a closed circle at 3 and shade to the right.

• Draw a solid line at 3 and shade above.

• Draw an open circle at 3 and shade to the right.

Tags

CCSS.6.EE.B.8

What is the difference between ≤ and < when graphing inequalities?

• ≤ includes the endpoint (solid dot), while < does not include the endpoint (open circle).

• Both ≤ and < include the endpoint (solid dot).

• ≤ does not include the endpoint (open circle), while < includes the endpoint (solid dot).

• ≤ and < are interchangeable and mean the same thing.

Tags

CCSS.6.EE.B.8