Set Builder Notation and Inequalities

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]

When graphing an inequality solution, what type of circle do I draw for the symbol:

> or <

• open circle

• closed circle

When graphing an inequality solution, what type of circle do I draw for the symbol:

or ≤ or ≥

• Closed Circle

• Open Cirlce

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.

Express the following in Interval Notation
-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)