Solving and Graphing Two-Step Inequalities

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

When do we switch the inequality symbol?

• when multiplying or dividing by a NEGATIVE

• when adding and subtracting a NEGATIVE

• we never switch the inequality

• When there is a negative in the problem

Which inequality matches this situation? The maximum score on the pilot's test is 95 points.

• p < 95

• p > 95

• p ≥ 95

• p ≤ 95

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

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?

• <, >

• ≤, ≥ 

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number