Absolute Value Inequalities Algebra Two

| x - 6 | > 4

• 2 < x < 10

• x < 2 or x > 10

• -1 < x < 5

• x < - 1 or x > 5

| x + 1 | ≥ 3

• No Solution

• All Real Numbers

• x ≤ -4  or  x ≥ 2

• -4 ≤ x ≤ 2

| 5x | > 30

• -6 < x < 6

• x < -6 or x > 6

• No solution

• All real solution

Which compound inequality represents the graph?

• m < -1 OR m > 2

• -1 < m < 2

• m > -1 OR m < 2

What's a way to define absolute value?

• The value of a number

• The opposite of a number

• The distance of a number from zero

• The multiplicative inverse of a number

| x + 9 | < -9

• no solution

• all real numbers

• x = 0, -18

• x = 18, 0

| 12 + w | ≥ -5

• No Solution

• All Real Numbers

• w ≤ -17  or  w ≥ -7

• -17 ≤ w ≤ -7

An absolute value can NOT equal...

• a positive number

• a negative number

Solve:
3 | 2x + 7| + 7 < 4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

Solve the absolute Value inequality and graph.

• A

• B

• C

• D