Inequalities Compound Inequalities and Interval Notation

Solve:

• A
• B
• C
• D

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

or ≤ or ≥

• [ ]

• ( )

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

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

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

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

Write the inequality in interval notation.

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

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

or ≤ or ≥

• Closed Circle

• Open Cirlce

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

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

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

> or <

• open circle

• closed circle