Solving Absolute Value Inequalities Algebra

| x + 3 | > 8

• No Solution

• All Real Numbers

• x < -11  or  x > 5

• -5 < x < 11

| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w and w < 6

• -6 < w and w < 5

• no solution
• x > 2 or x < -22
• -22 < x < 2
• all real numbers

Which compound inequality represents the graph?

• m < -1 OR m > 2

• -1 < m < 2

• m > -1 OR m < 2

• 2 > m > -1

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and" or a between statement

• separate into two inequalities with an "or" statement

• divide both sides by -8

• add 8 to both sides

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5 ... 1 ≤ x ≤ 5

Solve for n.

• n ≥ 10 and n ≤ -6

• n > 10 and n < -6

• n ≥ 10 or n ≤ -6

• n > 10 or n < -6

Solve for r.

• r ≥ -38 and r ≤ 32

• r > -38 and r < 32

• r ≥ -38 or r ≤ 32

• r > -38 or r < 32

∣ 2x + 9 ∣ = 15

• x = 3 

• x = 3
  x = -6

• x = 3
  x = -12

• x = 6
  x = -12

Absolute value is . . .

• The opposite of the number inside the brackets

• The distance away from zero

• Making positive numbers negative

• Both positive and negative

Tags

CCSS.6.NS.C.7C