Compound Inequalities & Interval Notation

Compound Inequalities & Interval Notation

Take notes as you watch the video!

Multiple Choice

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

≤ or ≥

• [ ]

• ( )

Multiple Choice

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

≤ or ≥

• Closed Circle

• Open Cirlce

Multiple Choice

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

Multiple Choice

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

> or <

• open circle

• closed circle

Multiple Choice

Can you use the symbols [ or ]
with infinity?

• Yes
• No

Multiple Choice

Write in interval notation:
The domain is all real numbers.

• [−∞,∞]
• (−∞,∞)

Multiple Choice

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

> or <

• [ ]

• ( )

Multiple Choice

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Multiple Choice

Express the following in Interval Notation
 -8 ≤ x < 8 

• [-8, 8]
• [-8,8)
• (-8, 8]
• (-8, 8)

Multiple Choice

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

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Choice

Express the following in Interval Notation

-9 < x ≤ -4

• [-9, -4]

• (-9,-4]

• [-9, -4)

• (-9,-4)

Multiple Choice

Write the inequality in interval notation.

• (-2,5)
• (-∞,-2) or (5,∞)
• [-2,5]
• (-∞,-2] or [5,∞)

Multiple Choice

Write the set of numbers in set-builder notation.

(22, 98]

Hint: You are still just checking the inequality. Don't let the other stuff confuse you.

• {x ∣ 22 < x ≤ 98 }

• {x ∣ 22 ≤ x ≤ 98 }

• {x ∣ 22 ≤ x < 98 }

• {x ∣ 22 < x < 98 }