Solving and Graphing Two-Step Inequalities

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1

• k≤1

• k≥1

• k ≥ -1

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 

• t ≤ 1

• t=1

• 1=t

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

4x - 2 ≤ -22

• x ≥ -5

• x ≥ -6

• x ≤ -6

• x ≤ -5

When graphing an inequality, you use an open circle when you use which symbol?

• <, >

• ≤, ≥

When solving the inequality below, what is the SECOND step to solving?

-3x - 2 < -17

• Dividing both sides by -3

• Dividing both sides by -3; flip the inequality sign

• Adding 2 to both sides.

Solve the following inequality and choose the solution and graph that match. 5x - 2 > 8

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Which graph matches the inequality k < 3?

• A

• B

• C

• D

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

Do I need to flip my sign when I solve this inequality?

• Yes

• No