Compound Inequality and Interval Notation

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

• Graph 1

• Graph 2

• Graph 3

• Graph 4

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)

Write the inequality in interval notation.

• (-2,5)

• (-∞,-2) or (5,∞)

• [-2,5]

• (-∞,-2] or [5,∞)

Solve the following compound inequality. Express your solution in interval notation.

−11<−2x−7≤−7  

What is the correct interval notation for this inequality

• {k/k≤-6}

• {k/k≥-6}

• (-∞, -6]

• (∞, -6)

What is the correct interval notation?

• (-5, 0)

• {m/m≤-5 or m≥0}

• (-∞, -5] U [0, ∞)

• {m/-5≤m≤0}

Solve 24 > -3r > -9 

• -8 < r < 3

• -8 > r > 3

• r > - 8 and r > 3 

• r > -8 or r < 3