Absolute Value Inequality

|-9v| < 54

• -6<v<6

• v<-6 or v>6

• v=6 or v=-6

• -6>v<6

| x + 3 | ≤ 2

• No Solution

• All Real Numbers

• -5 ≤ x ≤ -1

• 1 ≤ x ≤ 5

| k - 3 | < -1

• No Solution

• All Real Numbers

• 2 < k < 4

• k < 2  or  k > 4

| x + 1 | ≥ 3

• No Solution

• All Real Numbers

• x ≤ -4  or  x ≥ 2

• -4 ≤ x ≤ 2

| x + 3 | > 8

• No Solution

• All Real Numbers

• x < -11  or  x > 5

• -5 < x < 11

| 3x - 9 | < 3

• x < - 10 or x > - 2

• -10 < x < - 2

• x < 2 or x > 4

• 2 < x < 4

| n + 2 | - 3 ≥ -6

• No Solution

• All Real Numbers

• n ≤ -5  or  n ≥ 1

• -5 ≤ n ≤ 1

Solve.
-5|x - 4| > -20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

What is the correct first step?

• divide by 10

• multiply by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and"