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Worksheet: Solving Multi-Step Inequalities

Q1:

If , then .

Q2:

If , then .

  • A
  • B
  • C
  • D

Q3:

Solve the following inequality: .

  • A
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  • C
  • D
  • E

Q4:

Solve the following inequality: .

  • A
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  • D
  • E

Q5:

Solve the inequality for .

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  • E

Q6:

Solve the following inequality: .

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  • E

Q7:

Solve the following inequality: .

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  • D
  • E

Q8:

Solve the following inequality: .

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  • C
  • D
  • E

Q9:

Solve the following inequality: .

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  • E

Q10:

What inequality involving is equivalent to the inequality ?

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  • D
  • E

Q11:

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

  • A
  • B
  • C
  • D
  • E

Q12:

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

  • A
  • B
  • C
  • D
  • E

Q13:

Suppose that . Solve the inequality .

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  • E

Q14:

Determine the solution set of given that .

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  • D

Q15:

Determine the solution set of given that .

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  • D
  • E

Q16:

Given that , write the solution set of .

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  • D
  • E

Q17:

Given that , solve the inequality .

  • A
  • B
  • C
  • D
  • E