Solving Multistep Inequalities Interval Notation

Express the following in Interval Notation

-8 ≤ x < 8

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

Which is a solution of... 5(v + 3) > 10v - 10

• (-∞, 5)

• (5, ∞)

• (-5, ∞)

• (-∞, -5)

3 | 2x + 7| - 7 < -4

• x < -3 or x > -5/3

• -4 < x < -3

• all real numbers

• no solution

Solve.

-5|x - 4| > -20

• 0 < x < 8

• x > 8 or x < 0

• all real numbers

• no solution

3x - 4 < -13 or 7x + 1 > 22

• All Real numbers

• x > 3 and x > -9

• The answer is not listed

• x < -3 or x > 3

•  [-1, 3]

• (-1, 3)

• (1, 3)

• [1, 3]

When writing in interval notation, what kind of brackets do I use for: or ≤ or ≥

• [ ]

• ( )

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

• x < −2 or x > 5

• x < 2 or x > 5

• x < −2 and x > 5

• x < 2 and x > 5

Solve the following compound inequality:

0 < x + 7 < 9

• −7 < x and x < 2

• −7 < x or x < 2

• −7 > x and x > 2

• −7 > x or x > 2

Solve 24 > -3r > -9 

• -8 < r < 3

• -8 > r > 3

• r > - 8 and r > 3 

• r > -8 or r < 3