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Worksheet: Solving Compound Linear Inequalities

In this worksheet, we will practice how to solve compound linear inequalities by applying inverse operations throughout the inequality.

Q1:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q2:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q3:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q4:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q5:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q6:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q7:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D
  • E

Q8:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D
  • E

Q9:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D
  • E

Q10:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D
  • E

Q11:

Find all values of that satisfy . Write your answer as an interval.

  • 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:

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

  • A
  • B
  • C
  • D
  • E

Q14:

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

  • A
  • B
  • C
  • D
  • E

Q15:

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

  • A
  • B
  • C
  • D
  • E