Lesson Worksheet: Two-Step Linear Inequalities Mathematics

In this worksheet, we will practice solving a linear inequality in two steps.

Q1:

Determine the solution set of 7𝑥+5>9 given that 𝑥.

  • A{0,1,2}
  • B{1,0,1,}
  • C{1,0,1}
  • D{2,1,0,}
  • E{3,4,5,}

Q2:

Find the solution set of 2𝑥19 given that 𝑥.

  • A{6,5}
  • B
  • C{4}
  • D{6,5}

Q3:

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

  • A8𝑥+16<16𝑥
  • B8𝑥1616𝑥
  • C8𝑥+1616𝑥
  • D8𝑥+1616𝑥
  • E8𝑥16<16𝑥

Q4:

Solve the inequality 512𝑥10 for 𝑥.

  • A𝑥10
  • B𝑥103
  • C𝑥10
  • D𝑥10
  • E𝑥15

Q5:

Find the solution set of 3𝑥7<4 given that 𝑥.

  • A{0}
  • B{1,0}
  • C{1}
  • D{0,1}

Q6:

Find the solution set of the inequality 2𝑥+35. Write your answer as an interval.

  • A[1,)
  • B(1,)
  • C{1}
  • D(,1)
  • E(,1]

Q7:

Solve 5𝑥+7<3. Write your answer as an interval.

  • A{2}
  • B(2,)
  • C(,2)
  • D(,2]
  • E[2,)

Q8:

Determine the solution set of 9𝑥+54 given that 𝑥.

  • A{1,0,1,}
  • B{1}
  • C{0,1,2,}
  • D{1,0}

Q9:

Find the solution set of 5𝑥4>1 given that 𝑥.

  • A{3,2}
  • B{2,1}
  • C{1}
  • D

Q10:

Solve the following inequality: 𝑛5+1<6.

  • A𝑛>12
  • B𝑛>25
  • C𝑛<35
  • D𝑛<25
  • E𝑛>35

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