Compound Absolute Value Inequalities and Equations

What is the FIRST step to solving the equation:|x + 1| = 4

• Set up 2 equations

  x + 1 = 4

  x + 1 = -4

• Subtract 1 on both sides

• Set up 2 equations:

  x + 1 = 4

  x - 1 = 4

• Add 1 to both sides

Solve

• 2

• -2

• 6

• -6

Tags

CCSS.6.NS.C.7C

What is the correct way to write this answer? 

• x < - 8 OR x > - 6

• x < - 8 AND x > - 6

• -8 < 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

Which inequality represents the graph?

• -8 < x < -6

• x < - 8 AND x > - 6

• x < - 8 OR x > - 6

Solve this compound inequality 

• -15 < x < 18

• -4 < x < 7

• 4 < x < 7

Which compound inequality represents the graph?

• m < -1 OR m > 2

• -1 < m < 2

• m > -1 OR m < 2

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5