# Worksheet: Solving Multi-Step Inequalities

Q1:

If , then .

Q2:

If , then .

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Q3:

Solve the following inequality: .

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Q4:

Solve the following inequality: .

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Q5:

Solve the inequality for .

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Q6:

Solve the following inequality: .

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Q7:

Solve the following inequality: .

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Q8:

Solve the following inequality: .

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Q9:

Solve the following inequality: .

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Q10:

What inequality involving is equivalent to the inequality ?

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Q11:

This number line describes the solution set to which of the following inequalities?

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Q12:

This number line describes the solution set to which of the following inequalities?

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Q13:

Suppose that . Solve the inequality .

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Q14:

Determine the solution set of given that .

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Q15:

Determine the solution set of given that .

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Q16:

Given that , write the solution set of .

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Q17:

Given that , solve the inequality .

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