Inequalities Worksheet

• Closed (shaded) circle

• Open (unshaded) circle

• Closed (shaded) circle

• Open (unshaded) circle

If I had a closed (shaded) circle on a number line...which inequalities could it be graphing?

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x

• 80+9.50x < 120+7.50x

• 80x+9.50 > 120x+7.50

• 80x+9.50 < 120x+7.50

If I had an open (unshaded) circle on a number line...which inequalities could it be graphing?

If the arrow is pointing as shown, which inequalities could it be graphing?

If the arrow is pointing as shown, which inequalities could it be graphing?

*Choose 2 answers*

How would I write "a number less than OR equal to 2"

Which represents the word sentence as an inequality?
A number w is smaller than 5.

• w < 5

• w > 5

• w ≤ 5

• w ≥ 5

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500

• 500 + 25x ≥ 200

• 500 - 25x ≥ 200

• 500 - 25x ≤ 200