Solving "Simple" Inequalities
Compound Inequalities
Absolute Value Equations
Absolute Value Inequalities
Rapid Response
100
Solve: x + 8 < -3
x < -11
100
Graph: -2 < x <= 3
See board
100
Solve: |x + 2| = 18
-20 and 16
100
If an absolute value expression is LESS than a number, is that an "AND" situation or an "OR" situation?
"AND" situation
100

3 divided by 0 

Undefined

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
Solve: |x + 3| < 8
-11 < x < 5
200

Definition of Absolute Value 

Distance a number is from 0.

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
Solve: |2x + 5| > 19
x > 7 or x < -12
300

How many numbers exist between 3 & 7?

Infinite 

400
Solve: 9x + 5(3 - 2x) < -11
x > 26
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
Solve: |x + 11| - 7 < -3
-15 < x < -7
400

How many seconds are in 4 days?

345600 seconds

500
Solve: -3(6 - 2x) > 14 + 8x
-16 > x
500
Solve: -16 < 4(2x - 12) < 24
1 < x < 9
500
Solve: 2|x - 8| - 5 = 7
14 and 2
500
Solve: -5|x + 8| > 20
No solution
500

What number am I thinking of?

4