Solve, Graph, Explain Inequalities

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

When you graph an inequality, you use an open circle for which inequality symbols?

• ≤, ≥

• <, >

Match the graph with its inequality.

• 11 < a
• 11 > a
•  11 ≤ a
•  11 ≥ a

Will be circle be open or closed?
-5x  ≤ -25

• Open
• Closed

Describe the graph for the solution for the following inequality:
a + 13 ≥ 20

• Closed circle; arrow pointing left
• Open circle; arrow pointing left
• Closed circle; arrow pointing right
• Open circle; arrow pointing left

Graph the solution set of the inequality.

–4n + 1 > –23

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• 
• 
• 

6x + 2 + 6x < 14

• x < 1
• x > 1
• x < -1
• x > -1

− 6(x + 2) < 6

• x > 3

• x < 3

• x < -3

• x > -3

9 ≥ -2m + 2 − 3

• m ≤ 5
• m ≤ -5
• m ≥ -5
• m ≥ 5

Solve. -4 ≥ 4(2k-5)

• k ≥ 3

• k ≤ 2

• k ≤ -3

• k≥ 2