Compound Inequalities
Word Problems
Solving Inequalities
Graph this line
Graphing and Shading
100

Solve and Graph

-3 < 9+3n < 27

-4 < n < 6

100

Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?

1.50x + 4 ≤ 25

x ≤ 14

100

3 < -5n + 2n

n < -1

100
What type of line does < have?

dashed

100

Is (-2, 3) a solution to 2x - y > -9?

YES; -7 > -9

200

Solve and graph 

m -2 < -8 OR m/8 > 1

m < -6 OR m > 8

200

New Jordans cost at most $350. You work at Taco Bell and make $14.25 an hour. But you just gave your brother $50 for his birthday. How many hours do you need to work to get the Jordans? Round to the nearest whole number

14.25h - 50 ≤ 350

h ≤ 28

200

6x + 2 + 6x < 14

x < 1

200

What type of line does < have?

Solid

200

How do you graph the following y > -x + 8?

Dashed line, shade above, y-intercept=8 and the slope is -1

300

Solve and Graph

r + 5 ≥ 12 OR r/9 < 0

r ≥ 7 or r < 0

300

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel? Round your answer to the first decimal. 

0.65x + 1.75 ≤ 10

No more than 12.7 miles


300

-p - 4p > -10

p < 2

300

What type of line and where do you shade for <?

Dashed line and shade below

300

How do you graph the following: y < 2/3 x - 4

dashed line, shade below, b=-4, m=2/3

400

Solve and graph

-3 ≤ p/2 < 0 

-6 ≤ p < 0

400

Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening.  He earned $160 in all.  To the nearest hour, what is the least number of hours Stan would have to work to earn this much money?

7.55h + 100 ≥ 160

h ≥ 7.9 Hours

400

9 ≥ -2m + 2 -3

m ≥ -5

400

How would the line for the following look? What's the Slope and Y-Int? Graph it

y< 3x-7

solid line b= -7 m=3

400

How do you graph the following: x > -2

dashed, right, vertical line

500

You want to spend no more than 500 dollars on an outfit for you birthday party. You have already spend 256 dollars on a shirt and pants. You just need to buy shoes. Write an inequality to represent the possible cost of the rest of your outfit.

x + 256 ≤ 500

500

Travis and Don each play a game in which they cannot laugh. In the game, a person starts with 110 points and loses 6 points for each laugh. If Don finishes the game with 74 points, how many times can Travis laugh and still win?

-6x + 110 > 74

x < 6

500

-3-6(4x+6) > -111

x < 3

500

What are the 2 steps to graph a line in y=mx+b?

1. Graph the Y-Int

2. Use the Slope to Graph the rest of the line

500

How do you graph the following: y<-3

solid, below(down), horizontal line

500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500