Compound Inequalities and Interval Notations

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

• [−∞,∞]

• (−∞,∞)

Solve the compound inequality, write in Set Builder Notation:
y–3≥ -11 AND y–3 ≤ -8 

• { y | y ≥ 3}

• {y | -8 ≤ y ≤ -5}

• { y | y ≥ -8 and y ≥ -5}

• {y ≥ -11}

3x-4< -13 or 7x+1> 22

• All Real numbers

•   x>3   and x>-9

• The answer is not listed

• x<-3   or x>3

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

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

• A
• B
• C
• D

Look at the picture. Select the correct interval notation for the given number line.

• (-∞, -8) U (-4, ∞)

• (-∞, -8] U [-4, ∞)

• (-8, -4)

• [-8, -4]

Write in interval notation.

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Solve the inequality.