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Worksheet: Solving Linear Inequalities

Q1:

If π‘₯ βˆ’ 8 > βˆ’ 3 , then π‘₯ > .

Q2:

Which one of the following numbers satisfies the inequality π‘₯ > βˆ’ 6 ?

  • A βˆ’ 1 0
  • B βˆ’ 1 1
  • C βˆ’ 9
  • D βˆ’ 5

Q3:

Which one of the following numbers satisfies the inequality π‘₯ βˆ’ 5 > 1 ?

  • A 3
  • B 2
  • C 4
  • D 7

Q4:

Which one of the following numbers satisfies the inequality π‘₯ > βˆ’ 1 ?

  • A βˆ’ 3
  • B βˆ’ 5
  • C βˆ’ 4
  • D 0

Q5:

Which of the following inequalities has a solution that involves reversing its sign?

  • A 1 1 π‘₯ > 1 9
  • B 1 4 π‘₯ > 1 6
  • C 1 3 π‘₯ > 2 5
  • D βˆ’ 1 2 π‘₯ > 3 4
  • E 9 π‘₯ > βˆ’ 3 5

Q6:

Which of the following inequalities has a solution that involves reversing its sign?

  • A 1 0 π‘₯ ≀ 2 8
  • B 4 π‘₯ ≀ 2 9
  • C 1 1 π‘₯ ≀ 3 2
  • D βˆ’ 1 2 π‘₯ ≀ βˆ’ 1 5
  • E 5 π‘₯ ≀ βˆ’ 3 3

Q7:

Which of the following inequalities has a solution of 𝑝 > 3 0 ?

  • A 𝑝 + 4 7 > 1 7
  • B 𝑝 βˆ’ 1 7 > 4 7
  • C 𝑝 + 4 7 > βˆ’ 1 7
  • D 𝑝 + 1 7 > 4 7
  • E 𝑝 βˆ’ 8 > 3 8

Q8:

Which of the following does not satisfy the inequality π‘₯ ≀ βˆ’ 1 ?

  • A βˆ’ 3
  • B βˆ’ 4
  • C βˆ’ 1
  • D2

Q9:

Which of the following does not satisfy the inequality π‘₯ ≀ βˆ’ 8 ?

  • A βˆ’ 1 0
  • B βˆ’ 1 1
  • C βˆ’ 8
  • D βˆ’ 6

Q10:

Which of the following inequalities is equivalent to 5 π‘₯ < βˆ’ 4 ?

  • A π‘₯ = βˆ’ 4 5
  • B π‘₯ < βˆ’ 2 0
  • C π‘₯ > βˆ’ 4 5
  • D π‘₯ < βˆ’ 4 5
  • E π‘₯ ≀ βˆ’ 4 5

Q11:

Which of the following inequalities is equivalent to βˆ’ 3 π‘₯ < 4 ?

  • A π‘₯ = βˆ’ 4 3
  • B π‘₯ > βˆ’ 1 2
  • C π‘₯ < βˆ’ 4 3
  • D π‘₯ > βˆ’ 4 3
  • E π‘₯ β‰₯ βˆ’ 4 3

Q12:

Solve the following inequality: βˆ’ 1 0 π‘₯ β‰₯ 6 0 .

  • A π‘₯ ≀ 6
  • B π‘₯ β‰₯ βˆ’ 6
  • C π‘₯ β‰₯ 6
  • D π‘₯ ≀ βˆ’ 6

Q13:

Which of the following inequalities is equivalent to 4 π‘₯ β‰₯ 5 ?

  • A π‘₯ ≀ 5 4
  • B π‘₯ β‰₯ 2 0
  • C π‘₯ < 5 4
  • D π‘₯ β‰₯ 5 4