Multi-Step Inequalities and Interval Notation

Write the inequality in interval notation.

• (-2,5)

• (-∞,-2) or (5,∞)

• [-2,5]

• (-∞,-2] or [5,∞)

Write the following in interval notation
 x < 8

• (8, ∞)

• (8, -∞)

• (-∞, 8)

• [-∞, 8]

Write the following solution in interval notation:

x ≥ -3

• [ -3, ∞ )

• ( -3, ∞ )

• ( -∞ , -3 )

• ( -∞ , -3]

Solve the inequality.

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Consider the compound inequality x > 1 and x > 4. Which graph represents the solution?

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Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Which number line shows the solution to: 11x + 14 < –8? 

• a

• b

• c

• d

Solve the inequality and graph its solution.

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Solve the inequality and graph its solution.

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