Absolute Value and Equations

|6 - 2k| = 18

• k = -6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

Solve the inequality. 
|m| + 5 < 9

• m < 4

• m < -4

• -4 < m < 4

• m < 4,-4

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10

• x > 6 or x < -14

• all real numbers

• no solution

What is the correct way to write the answer? 

• x = -2 AND x = 6

• x = -2 OR x = 6

After you split into two inequalities, what would they look like?

• x + 7 > 1        
     
  x + 7 > -1

• x + 7 > 1

• x + 7 > 1
  X + 7 < -1

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

Solve the inequality.

• A

• B

• C

• D

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

Solve:

• {24}

• {-6, -8}

• {16, 4}

• {24, -24}