Solving and Graphing Two-Step Inequalities

Do I need to flip my sign?

-3x ≥ 12

• Yes, because I'll be dividing by a negative number

• No, because you never flip the sign.

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >

Which graph matches the inequality
-2 ≥ n?

• A

• B

• C

• D

Solve for k. 7k – 2 ≥ -9

• k ≤ -1

• k ≤ 1

• k ≥ 1

• k ≥ -1

Pick the correct letter for:
6 > x

• A

• B

• C

• D

x − 4 ≤ 6

• x ≤ 10

• x ≥ 10 

• x ≥ 2

• x ≤ 2

y + 7 ≥ 12

• y ≥ 5

• y ≤ 5 

• y ≥ 19 

• y ≤ 19

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ 3

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

• x - 134 < 400

• x + 134 < 400

• x - 134 ≤ 400

• x + 134 ≤ 400