Set Builder and Interval Notations Inequalities

Write the following solution in set builder notation:

y > 10

• { y > 10 }

• { y | y > 10 }

• { y | y < 10 }

• ( -0, 10 )

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:

x ≥ -3

• [ -3, ∞ )

• ( -3, ∞ )

• ( -∞ , -3 )

• ( -∞ , -3]

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, ∾ )

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.

Given:

x > 15

Is -25 a solution?

• Yes, it is a solution.

• No, it is not a solution.

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

• [-4, -1)

• (-4, -1)

• (-4, -1]

• [-4, -1]