Reading and Graphing Inequalities on a Number Line

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Write x < -5 in words.

• x is greater than -5

• x is greater than or equal to -5

• x is less than -5

• x is less than or equal to -5

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

• all rational numbers equal to 8

• all integers less than 8

• all rational numbers greater than 8

• all rational numbers less than 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.

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

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.

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

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

g > 3

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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.