Inequalities Set Builder Notation and Interval Notation

Write the set of numbers inset-builder notation.
(22, 98]

• {x ∣ 22 < x ≤ 98 }

• {x ∣ 22 ≤ x ≤ 98 }

• {x ∣ 22 ≤ x < 98 }

• {x ∣ 22 < x < 98 }

Look at the picture. Select the correct interval notation for the given number line.

• (-∞, -8) U (-4, ∞)

• (-∞, -8] U [-4, ∞)

• (-8, -4)

• [-8, -4]

Which method is used to designate the set { x | x ∈ N and x > 4 } ?

• Roster Method

• Descriptive Method

• Set-builder Notation

Express the following in Interval Notation
 -8 ≤ x < 8 

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)

Express the following in Interval Notation
 -9 < x ≤ -4 

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Write the inequality in interval notation.

• (-2,5)

• (-∞,-2) or (5,∞)

• [-2,5]

• (-∞,-2] or [5,∞)

Look at the picture. Which number line corresponds to [-2, 5]?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Express the following in Interval Notation
{ x | -9 < x ≤ -4 }

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Write in interval notation:
The domain is all real numbers.

• [−∞,∞]

• (−∞,∞)

Solve the inequality, write in Set Builder Notation:
-3h – 7 < 14

• { h | h < -7}

• { h | h < 21}

• {h < 7}

• { h | h > -7}