SOLVING ONE OR TWO STEP INEQUALITY

Graphing Inequalities

100

Should the circle be open or closed for the inequality   4 <= x?

CLOSED

200

Should the circle be open or closed for x > 7?

OPEN

300

Which way should you shade the graph?  To the right or the left?

-6 < x

TOP THE RIGHT   -------->

400

Which way should the graph be shaded? To the right or the left?

-14 < -x

TO THE LEFT   <--------

500

Which way should the graph be shaded? To the right or the left?

-3x < 9

TO THE RIGHT  -------------->

Solving one step Inequalities

100

x + 4 < 3 

x < -1

200

5x > -10

x> -2

300

x - 8 < 16

x < 24

400

x / 6 < -3

x < -18

500

DAILY DOUBLE     WWWWWWOOOOOOWWWWW!!!!

-7x > 77

x < -11 

AND WHAT IS THE WAGER?????

Solving two step inequalities

100

2x + 9 > 7

x > -1

200

6x - 8 < 10

x < 3

300

x/6 +7<9

x < 12

400

x+5

______  > 12

4

x > 43

500

 −5/3 x<−16

x>48/5

Solving Multi step Inequalities

100

x + 3x - 4 < 12

x < 4

200

-2(x - 3) > 8

x < -1

300

6(5 - 3x) < 24

x > 1/3

400

3x-7

____        >   7

2

X >=7

500

-8(-4x + 2) + 3x < 54

x < 2

POT LUCK!

100

Is -2 a solution to the inequality?

 4x + 2 < 3

YES!!!

200

When do you need to flip the inequality symbol?

When you multiply or divide by a negative number.

300

DAILY DOUBLE  
WHAT!!!!!!!!!

If the solution to an inequality is x > 3, is 3 included in the list of possible solutions? 

 

NO  

HOW MUCH DID YOU WAGER

400

What does it mean for the circle on the number line to be open?

An open circle means that the number under the circle is not a possible solution to the inequality.

500

FINAL JEOPARDY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

WRITING/ SOLVING ONE OR TWO-STEP EQUATIONS

A: write the inequalities

B: solve inequalities

A roller-skating rink charges a $16 fixed fee plus $7 an hour for a party. Laurie paid $79 to rent the rink. How many hours did she pay to have her party?

16 + 7x = 79 

x = 9 hours