Compound Inequalities with Interval Notation

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

What interval notation does the number line graph represent?

• [∞, -5)

• (∞, -5)

• [-5, ∞)

• (-5, ∞)

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

• (-∞, -8) U (-4, ∞)

• (-∞, -8] U [-4, ∞)

• (-8, -4)

• [-8, -4]

Give the solution set for: -13<2x+5<15

• -9>x>5

• -9

• -4

• -4>x>5

Write an inequality for Graph 4.

• -2 < x < 5

• x < -2 or x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

Write in interval notation.

What inequality is graphed? 

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Write in interval notation.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 or x < 4

• No Solution

• x ≥ -5 and x < 4

Solve the inequality.