Interval and Set Builder Notation

Look at the graph. Write the inequality in interval notation.

• (-2,5)
• (-∞,-2)⋃(5,∞)
• [-2,5]
• (-∞,-2]∪[5,∞)

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

• [-9, -4]
• (-9,-4]
• [-9, -4]
• (-9,-4)

Express the following interval in Set builder notation: (-7, 15]

• {x\-7 ≤ x ≤ 15}

• {x\-7 < x ≤ 15}

• {x\-7 ≤ x < 15}

• {x\-7 < x < 15}

Look at the Graph. Write the inequality in interval notation.

• [-4, -1)
• (-4, -1)
• (-4, -1]
• [-4, -1]

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

• Graph 1
• Graph 2
• Graph 3
• Graph 4

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 }

What set notation does the number line graph represent?

• {x| x ≥-5 }
• {x| -5 ≥ x }
• {x| -5 ≥∞}
• {x| -5 ≤ x < ∞ }

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

• (-∞, -8) U (-4, ∞)
• (-∞, -8] U [-4, ∞)
• (-8, -4)
• [-8, -4]

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

or ≤ or ≥

• [ ]

• ( )

• (-1, 4)

• [-1, 4]

• (-1, 4]

• [-1, 4)