Solving Inequalities

What inequality does the number line graph represent?

• x < -4
• x < 4

 Pick the correct inequality.

• A

• B

• C

• D

Which of the following situations shows the need to flip the inequality sign?

• x > -7

• x < -7

-4x + 5 ≤ 29

• x ≥ 6
• x ≤ -6
• x ≥ -6
• x ≤ 6

What is the solution to the inequality –19 < 3x – 4 < 5

• –26 < x < –2

• –5 < x < 3

• –18 < x < 6

• –9 < x < 3

Solve the inequality

6x – 14 < –14 or 3x + 10 > 13

• x < –4 or x > 7

• x < –6 or x > 0

• x < 0 or x > 1

• x < 0 or x > 7

• Sam had 3 bottles of water. Together sam and Dave have at most 12 bottles of water

• Jennie sold 3 cookbooks. To earn a prize, Jennie must sell at least 12 cookbooks

• Peter has 2 baseball hats. Peter and his brothers have fewer than 12 baseball hats.

In order to be admitted for a certain ride at an amusement park a child must be greater than or equal to 36 inches tall and less than 48 inches tall. Which inequality represents these conditions

Which statement is modeled by 2p + 5 < 11

• The sum of 5 and 2 times p is at least 11

• Five added to the product of 2 and p is less than 11

• Two times p plus 5 is at most 11

• The product of 2 and p added to 5 is 11.