Solving Two-Step Inequalities and Graphing

Solve for x.

• x > 2

• x > 5

• x >15

• x > 50

Let's kick it up another notch. Use what you know about distributing, combining like terms and solving two-step inequalities when solving for x. 7(x + 3) - 5x < 13

• x>-4

• x < 17

• x<-4

• x > -17

Ok. Try this last one.Remember...use what you know about distributing, combining like terms and solving two-step inequalities when solving for x.

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

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

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ -3

Choose the correct graph that best describes the solution for each inequality.

• A

• B

• C

• D

Which number line shows the solution to:
11x + 14 < –8? 

• a

• b

• c

• d

Write the inequality for the following graph:  

• x ≥ 4

• x ≤ 4

• x > 4

• x < 4

Solve the inequality:  -3x + 4 > -2

• x < -1

• x > -1

• x < 2

• x > 2

When graphing an inequality, you use an open dot when you use which symbols?

• <, >

• ≤, ≥