Solve Absolute Value Equations and Inequalities

• - 4 ≤ x ≤ 6
• x ≥ - 4 or x ≤ 6
• x ≥ 4 or x ≤ - 6
• - 4 ≤ x ≤ - 6

• - 6 < x < 26/5
• - 6 < x < 25
• x < - 6 or x > 26/5
• x > - 6 or x < 26/5

• Infinite solutions
• - 2 ≤ x ≤ - 7 
• No Solution
• -7/3 ≤ x ≤ -3/7

Solve. |x| = 7 (Check all that apply)

• 7

• -7

• no solution

• infinite solutions

Solve. |x| = 9 (Check all that apply)

• 9

• -9

• no solution

• infinite solutions

Solve. |x + 3| = 10

• 7

• -13

• 13

• -7

• no solution

Solve. |x + 4| = 10

• 6

• -14

• 14

• -6

• no solution

Solve. 5|x + 1| = 20

• -3

• -5

• 5

• 3

• no solution

Solve. 2|x + 6| = 20

• 16

• -16

• -4

• 4

• no solution

Solve. |x| - 8 = 2

• 6

• -6

• 10

• -10

• No Solution