Inequalities Set Builder Notation and Interval Notation

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

Solve.

3|d - 4| ≥ 12

• d = -8 or d = 0

• no solution

• d ≥ 8 or d ≤ 0

• d = 40 or d = 32

Solve:  |2x + 1| ≤ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve:  |2x - 1| ≥ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

x+2<-4 or -5x<-15

• -6<x<3

• x<-3 and x>6

• x<-6 or x>3

• No Solution

Solve 24 > -3r > -9 

• -8 < r < 3

• -8 > r > 3

• r > - 8 and r > 3 

• r > -8 or r < 3

Write the following in set-builder notation

All real numbers that greater than or equal to 5

Write the following in set-builder notation

All real numbers that less than or equal to 8 and greater than -1

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and

• or

Write the following in interval notation

-7 ≤ x < 8

• (-7, 8)

• [-7, 8)

• [-7, 8]

• (-7, 8]

• (8, -7]