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Compound Inequalities
One-Step Inequalities
Multi-Step Inequalities
Solve and Graph
Word Problems
100

and / or

-2 < x < 15

and

100
x + 7 < 8
x < 1
100
3x - 1 ≥ 14
x ≥ 5
100
x > 9
open circle at 9, pointing right
100

Lisa is cooking muffins for a fundraiser. She needs to make at least 350 muffins. She can make 96 muffins every hour. Write an inequality to represent how many muffins Lisa will need to work to make enough muffins.

96x ≤  350

200

and / or

x < -2 or x >15

or

200
b - 9 ≥ -20
b ≥ -11
200
x/2 - 4 < 10
x < 28
200
x ≤ 17
closed circle at 17, pointing left
200

Taylor has a budget of $32 and wants to buy a salad for $5. Write an inequality to represent how much money Taylor will have left.

x - 5 ≤ 32

300
what's the graph?

7 < x < 18

2 open circles 

line connecting the two

300
4x > 24
x > 6
300
-5x + 3 > -22
x < 5
300
x -12 < -4
x < 8, closed circle at 8, pointing left
300

Sofia is shopping for a new jacket and needs to save enough money. The jacket costs no less than $300. Sofia earns $18 an hour and already has $40 saved up. Write an inequality to represent the situation.

300 ≤ 18x + 40

400

what's the graph? 

x < -4 or x > 9

two open circles 

arrows facing opposite directions

400
m/3 ≤ 12
m ≤ 36
400
-6x-3>-15
What is x<2
400
-8x > 32
x < -4, open circle at -4, pointing left
400

Tommy wants to go on a rollercoaster. The safety sign says you need to be between 100 lbs and 500 lbs to ride the ride. Write an inequality to represent the situation.

100 < x < 500

500

solve it 

3 < 2x - 5 < 15

4 < x < 10

500
-2x < 18
x > -9
500

18 < 3(6x - 2) 

x = 2

500
1/2x ≥ 4
x ≥ 8, closed circle pointing right
500

Jenny likes to hike in either really cold weather or really hot weather. Specifically, went the temperature is no more than 65 degree or no less than 80 degrees. Write an inequality to represent the situation.

x ≤ 65 or 80 ≤ x