Set Interval Inequality Notation

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

• Graph 1

• Graph 2

• Graph 3

• Graph 4

What set notation does the number line graph represent?

• {x| x ≥-5 }

• {x| -5 ≥ x }

• {x| -5 ≥∞}

• {x| -5 ≤ x < ∞ }

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)

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, ∾ )

Why do I draw a closed circle when it's less than or equal to or greater than or equal to?

• Because we are INCLUDING that solution

• Because we are NOT INCLUDING that solution

Given:

x ≤ -10

Is -25 a solution?

• Yes, it is a solution.

• No, it is not a solution.

Write the following solution in set builder notation:

y > 10

• { y > 10 }

• { y | y > 10 }

• { y | y < 10 }

• ( -0, 10 )