Set Interval Notation Inequalities

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

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15

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.
(−∞, 5] or [14, ∞)

• {x∣x ≤ 5 or x > 14}

• {x∣x ≤ 5 or x ≥ 14}

• {x∣x < 5 or x > 14}

• {x∣x ≤ 5 or x > 14}

What set notation does the number line graph represent?

• {x| x ≥-5 }

• {x| -5 ≥ x }

• {x| -5 ≥∞}

• {x| -5 ≤ x < ∞ }

Solve 24 > -3r > -9 

• -8 < r < 3

• -8 > r > 3

• r > - 8 and r > 3 

• r > -8 or r < 3

Write the following solution in interval notation:

x ≥ -3

• [ -3, ∞ )

• ( -3, ∞ )

• ( -∞ , -3 )

• ( -∞ , -3]

When writing a solution in interval notation, what brackets do i use for: > or <

• [ ]

• ( )

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

• [ ]

• ( )

Write the following solution in interval notation:

z < 20

• ( -∞ , 20 )

• ( 20,∞)

• ( -∞ , 20)

• ( -∞ , 20]

Write the following solution in interval notation:

x ≥ 6

• ( -∾ , 6]

• ( -∾ , 6 )

• ( 6, ∾ )

• [ 6, ∾ )