Solving "Simple" Inequalities
Compound Inequalities
Absolute Value Equations
Brain Break
Writing Inequalities & Other Stuff
100
Solve: x + 8 < -3
x < -11
100

Graph: -2 < x < 3

See board

100
Solve: |x + 2| = 18
-20 and 16
100

What is the only U.S. state with a name that ends in three consecutive vowels?

Hawaii

100
Translate into an inequality: "4 more than a number is less than or equal to 16."
4 + x <= 16
200
Solve: 14 > 6x - 10
4 > x
200
Solve: 2x - 7 < 13 or x + 8 > 22
x < 10 or x > 14
200
Solve: |6x - 4| = -20
No solution
200

What are the three states of matter?

Liquid, gas, solid

200
When do you flip the sign of an inequality?
When you multiply or divide by a negative number
300
Solve: -7x + 3 < 45
x > -6
300

Solve: -15 < -3x + 6 < 3

7 > x >1

300
Solve: |3x - 12| = 9
7 and 1
300

What is the highest-grossing movie of all time?

Avatar 

300
Tracie has at least 57 gumballs in a jar. Write an inequality to represent the situation.
x >= 57
400

Solve: 9x + 3 - 2x < -11

x > -7

400
Solve: -2x + 11 < 3 or x/3 - 1 < -10
x > 4 or x < -27
400
Solve: |2x - 6| + 8 = 20
9 and -3
400

What are the names of Cinderella’s stepsisters?

Anastasia and Drizella

400
An electrician earns $35 an hour. He wants to earn at least $1500 a week. Which inequality could be solved to determine the number of hours he would need to work? A) 35h < 1500 B) 35h > 1500 C) 35h <= 1500 D) 35h >= 1500
D
500

Solve: -2(7 - 2x) > 14 

x > 7

500
Solve: -16 < 4(2x - 12) < 24
1 < x < 9
500
Solve: 2|x - 8| - 5 = 7
14 and 2
500

Where did Albert Einstein live before moving to the United States?

Germany

500
Will needs at least 800 points to be a finalist on a game show. He currently has 640 points with one round to go. Which inequality could be solved to determine the number of points needed in the last round in order for him to be a finalist? A) 640 + x <= 800 B) 640 + x >= 800 C) x - 800 >= 640 D) 640 + 800 > x
B
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