Write the inequality
One or Two Step Inequalities
Multi-Step Inequalities
Absolute Value Equations
Absolute Value Inequalities
Word Problems
100

All real numbers greater than 7

x>7

100

f - 5 > 12

f > 17

100

2(x-3) > 12

x > 9

100

|t| = 6

t = 6, -6

100

|k| > 6

k > 6, k < -6

100

A club has a goal to sell at least 25 plants at a fundraiser. Club members sell 8 plants on Wednesday and 9 plants on Thursday. What are the possible numbers of plants the club can sell on Friday to meet their goal?

p + 17 >/= 25

p >/= 8

200

2 less than a number k is less than or equal to 5

k - 2 </= 5

200

-6h </= 48

h >/= -8

200

3n - 7 < -2n + 3

n < 2

200

|v| + 8 = 12

v = 4, -4

200

|c - 5| </= 8

c </= 13, c >/= -3

200

Text messages cost $0.15 each. You can spend no more than $10. How many text messages can you send?

0.15t </= 10

t </= 66.7; You can send 66 text messages.

300

5 times a number t is greater than 20

5t > 20

300

2d + 5 > 9

d > 2

300

-4(z - 1) </= 12

z >/= -2

300

|5r| + 7 = 2

|5r| = -5; no solution

300

Solve and graph:

7|3+r| </= 28

r</= 3, r >/= -7

300

The perimeter of a rectangle is at most 24cm. Two opposite sides are both 4cm long. What are the possible lengths of the other two sides? Remember: 

P = 2l + 2w

length </= 8cm

400

3 more than two times a number p is less than 9

3 + 2p < 9

400

-5c - 3</= 22

c >/= -5

400

-3(5 - 2y) > 6y + 5

-15 > 5; no solution

400

4|9 - a| = 48

a = -3, 21

400

-2|d + 5| +7 < 11

|d + 5| < -2; no solution

400

A friend's distance(in ft) from you after t seconds is given by d = |80 - 5t|. At what times are they 60ft from you?

At 4 seconds and 28 seconds
500

2 less than the quotient of a number x and 3 is greater than or equal to 7

(x/3) - 2 >/= 7

500

Solve and graph:

45 - 4r > -3

r < 12

500

Solve and graph:

6(j + 2) - 2j < 2j

-6 > j OR j < -6

500

-3|2x + 1| - 5 = -20

x = 2, -3

500

Solve and graph:

|-3n| - 7 > 2

n < -3, n > 3

500

A food manufacturer makes 32oz boxes of pasta. Not every box weighs exactly 32oz. The allowable difference from the ideal weight is at most 0.05oz. Write and solve an absolute value inequality to find the range of allowable weights.

|p-32| </= 0.05

The pasta boxes can weigh between 31.95oz and 32.05oz.