Basics
Multi-Step Inequalities
Compound Inequalities "And"
Compound Inequalities "Or"
Writing Inequalities
100
Solve and sketch the graph for the inequality
- 2x +3>9
x<-3
100
-4(7 + 6b) < -196
What is b > 7
100
Solve:
2 < 2x < 6
What is 1 < x < 3
100
Solve:
n + 1 ≤ -3 or -4n < -8
What is n ≤ -4 or n > 2
100
Write an inequality:
The temperature of the room is more than 65 degrees but less than 76 degrees.
What is 65 < x < 76
200
Sketch the graph for the inequality
Show
200
8(4x + 4) ≤ -160
What is x ≤ -6
200
Solve:
6 ≤ x + 6 ≤ 11
What is 0 ≤ x ≤ 5
200
Solve:
p + 4 ≤ 1 or p - 1 ≥ 1
What is p ≤ -3 or p ≥ 2
200
Write an inequality:
The elevator can hold no more than 6000 lbs.
What is x ≤ 6000
300
Write the solution in set builder notation
7-5x+2x >16
{x|x<-3}
300
8(w - 3) + 7 > -81
What is w > -8
300
Solve:
9 - 12r ≥ -99 and -2r - 4 < -12
What is 4 < r ≤ 9
300
Solve:
12 + 4n > 44 or 10 - 12n > -38
What is n > 8 or n < 4
300
Write an inequality:
The cell phone bill starts at $49.99
What is x ≥ 49.99
400
Determine if - 4 is a solution to the inequality
5x+12 >-8
no
-8>-8 not a true statement
400
185 > -8n -3(7n + 6)
What is n > -7
400
Solve:
-10 - 2c < 6 and 6c + 12 < -6
What is -8 < c < -3
400
Solve:
2x - 3 < 11 or -8x - 10 < -82
What is x < 7 or x > 9
400
Ryan has $500 in a savings account. He wants to have at least $900 by the end of summer. If he saves $25 each week, what is the minimum number of weeks it will take him to save ?
4
500
Sketch the graph.
{x| 1<x<5}
teacher will check
500
3m - 3.1(-4.5 -3.6m)<93.246
What is m< 5.6
500
Solve: 5w + 10 ≤ -4w - 17 < 9 - 2w
What is -13 < w ≤ -3
500
Solve:
14r + 20 < 14r or 8 - 10r ≥ 15 - 9r
What is r ≤ -7
500
Write an inequality:
I read books between 200 and 600 pages.
What is 200 ≤ x ≤ 600