Inequality Quiz 1

1. Find all real solutions to the equation with absolute value.

2|-2x - 2| - 3 = 13

-5

3

-5,3

No Solutions

0

2. Find all real solutions to the equation with absolute value.

|x - 1| = |x² -2x + 1|

No Solutions

0

3

0,1,2

2 + sqrt(2) , 2 - sqrt(2)

3. Solve the inequality with absolute value..

|x - 1| >= 2

No Solutions

[3 , +infinity)

(-infinity , -1] U [3 , +infinity)

(-infinity , -1]

(-infinity , +infinity)

4. Find all real solutions to the equation with absolute value.

-2|x + 1| -2 = 4

-4

No Solutions

4

All real numbers

0

5. Find all real solutions to the equation with absolute value.

|2x - 1| = x²

1 - sqrt(2) , -1 + sqrt(2) , 1

1

-1,1

-1 - sqrt(2) , -1 + sqrt(2)

No Solutions

6. Find all real solutions to the equation with absolute value.

|x - 1| = 2x + 1

-2

-2,0

-1

No Solutions

0

7. Solve the inequality with absolute value..

-3|-2x + 4| <= 4

(-infinity , 7/3)

(7/3 , +infinity)

(-7/3 , +7/3)

(0 , 7/3)

(-infinity , +infinity)