Inequalities: Graphing on a Number Line

Select the statement that represents all the solutions of the inequality.

d < 8

• all rational numbers equal to 8

• all integers less than 8

• all rational numbers greater than 8

• all rational numbers less than 8

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Graph the solution of the inequality on paper and then select all correct responses below.

Marcus has less than $25 in his bank account.

b < 25

• Draw an open circle at 25.

• Draw a closed circle at 25.

• Shade all numbers larger than 25.

• Shade all numbers smaller than 25.

• Shade all numbers to the left of 25.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

CCSS.6.NS.C.6

There are more than 3 gallons of gas in Ms. Bradley's car.

g > 3

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Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Choose the inequality that has that solution shown on the graph.

• $a\ <\ 1\ \frac{1}{2}$

• $a\ <\ -1\ \frac{1}{2}$

• $a\ >\ 1\ \frac{1}{2}$

• $a\ >\ -1\ \frac{1}{2}$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Ashley sees a sign that says you must be more than 48 inches tall to ride a roller coaster.

She writes the inequality as h > 48.

How can she graph the solutions of the inequality?

• Plot an open circle at 48 and shade left.

• Plot a closed circle at 48 and shade left.

• Plot an open circle at 48 and shade right.

• Plot a closed circle at 48 and shade right.

Tags

CCSS.6.EE.B.8

Matthew found that most helicopters fly at speeds of less than 270 kilometers per hour. His work is shown in the picture.

Which mistakes did he make? Check all that apply.

• The inequality should be s < 270.

• The inequality should be s = 270.

• The number line should have a closed circle at 270.

• The number line should be shaded to the left.

• The entire number line should be shaded.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Amani's mom spends more than 2 hours planning for Amani's birthday. The inequality represents the situation. Which graph represents the inequality?

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Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Hannah is graphing the inequality . She draws a number line and shades over the numbers that are greater than 4.

What must she do to complete his representation of x > 4?

• Draw an open circle at 4.

• Draw a closed circle at 4.

• Draw an open circle at 5.

• Draw a closed circle at 5.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

What inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Tags

CCSS.6.EE.B.8

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Tags

CCSS.6.EE.B.8