Inequalities and the Number Line

• -5 is below -2 on a vertical number line

• -2 is below -5 on a vertical number line

2.3 < 4.6

so.....

• 2.3 is to the left of 4.6 on a horizontal number line.

• 2.3 is to the right of 4.6 on a horizontal number line.

-2.5 > -15.2

so...

• -15.2 is above -2.5 on a vertical number line

• -15.2 is below -2.5 on a vertical number line

0.23 > .1

so...

• 0.23 is below .1 on a vertical number line

• .1 is below 0.23 on a vertical number line

5.75 < 6

so...

• 5.75 is to the right of 6 on a horizontal number line.

• 6 is to the right of 5.75 on a horizontal number line.

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