Linear Inequality and Set Builders

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

• [-4, -1)

• (-4, -1)

• (-4, -1]

• [-4, -1]

Write the following solution in set builder notation:

x ≥ -2

• { x | x ≥ 2 }

• { x | x ≥ -2 }

• { x ≥ -2 }

• { x | x ≤ -2 }

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}

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 }

Express the following in Interval Notation
{ x  | -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)

Express the following interval in Set notation:
[3, 5]

• { x  | 3 ≤ x ≤ 5 }

• { x  | 3 < x < 5 }

• { x  | 3 ≤ x ≥ 5 }

• { x | 3 < x > 5 }

Write the following solution in set builder notation:

y > 10

• { y > 10 }

• { y | y > 10 }

• { y | y < 10 }

• ( -0, 10 )

Write the following solution in interval notation:

x ≥ -3

• [ -3, ∞ )

• ( -3, ∞ )

• ( -∞ , -3 )

• ( -∞ , -3]

Write the following solution in interval notation:

x ≥ 6

• ( -∾ , 6]

• ( -∾ , 6 )

• ( 6, ∾ )

• [ 6, ∾ )