Absolute Value Inequalities

Absolute Values 1

100

| x | = 4

4 and -4

200

| x - 7 | + 3 = 1

No Solution

300

| 2b - 10 | = 12

11 and -1

400

2| d - 3| = 18

12 and -6

500

2| x + 6 | + 6 = 26

16 and -4

Absolute Values 2

100

| 3x + 6 | = 0

-2

200

| 3x - 6 | + 2 = 44

16 and -12

300

| x\3 | = 6 

6 and -6

400

-2| 7 - 3y| - 6 = -14

*One answer will be a fraction*

1 and 11/3

500

-5| 3 + 4k | = -115

*One answer will be a fraction*

5 and -13/2

Inequalities 1

100

Draw the graph for x > 756

<--------------------->

200

Draw the graph for x < 17

<--------------------->

300

Draw the equation for 

<-------------->

x  > 246

400

Draw the equation for 

<-------------->

x < 42

500

2x - 4 < x + 3

x < 7

<-------------->

Inequalities 2

100

5 - 4x < 21

y > -4

<-------------->

200

2(4x - 1) + 3(x + 4) > 6x

x > 2

<-------------->

300

2(x + 4) < 3x - 2(x - 5)

x < 2

<-------------->

400

Justin wants to maintain an average of 75 in his Algebra class. So far, he has received a 72, 65, 78, and an

83 on his quizzes. What will he need on his fifth quiz to receive at least a 75?

Justin needs at least a 77

500

Twice a number decreased by five is greater than three times a number increased by ten. Graph the solution

x < -15

Absolute Value Inequalities

100

| x + 1 | < 4

x < 3 AND x > -5

-5 > x > 3

<-------------->

200

| x + 2 | > 1

x > -1 OR x < 3

<-------------->

300

| x - 5 | < 4

x < 9 AND x > 1

1 < x < 9 

<-------------->

400

| x + 6 | > 4

x > -2 OR x < -10

<-------------->

500

| x +1 | < 0

No Solution