Compound Inequalities and Interval Notations

What interval notation does the number line graph represent?

• [∞, -5)

• (∞, -5)

• [-5, ∞)

• (-5, ∞)

Look at the Graph. Write the inequality in interval notation.

• [-4, -1)

• (-4, -1)

• (-4, -1]

• [-4, -1]

• x ≤ 3 and x > -2

• x < -2 or x ≥ 3

• x > -2 or x < 3

• x < 3 and x ≥ -2

What is the correct interval notation for this inequality

• {k/k≤-6}

• {k/k≥-6}

• (-∞, -6]

• (∞, -6)

Look at the graph. Write the inequality in interval notation.

• (-2,5)

• (-∞,-2)⋃(5,∞)

• [-2,5]

• (-∞,-2]∪[5,∞)

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

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

−11<−2x−7≤−7  

• [-3, ∞)

• (-∞, -3]

• (3, ∞)

• (-3, ∞]

What is the correct interval notation?

• {p/p≥-10}

• {p/p≥10 or p≥10}

• (∞, -10]

• [-10, ∞)