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Lesson: Solving Inequalities by Multiplication or Division

Sample Question Videos

Worksheet • 6 Questions • 1 Video

Q1:

Solve the inequality βˆ’ 7 1 0 π‘₯ ≀ βˆ’ 8 in β„š .

  • A  π‘₯ ∢ π‘₯ ∈ β„š , π‘₯ β‰₯ 8 0 7 
  • B  π‘₯ ∢ π‘₯ ∈ β„š , π‘₯ ≀ βˆ’ 8 0 7 
  • C  π‘₯ ∢ π‘₯ ∈ β„š , π‘₯ β‰₯ 2 8 5 
  • D  π‘₯ ∢ π‘₯ ∈ β„š , π‘₯ β‰₯ βˆ’ 8 0 7 
  • E  π‘₯ ∢ π‘₯ ∈ β„š , π‘₯ ≀ 8 0 7 

Q2:

Given that βˆ’ 1 ≀ βˆ’ 6 π‘₯ 1 0 βˆ’ 1 ≀ 5 , find the greatest possible value of π‘₯ + 8 .

Q3:

Fill in the blank in the following rule on inequalities: If π‘₯ > 𝑦 and 𝑧 > 0 , then π‘₯ 𝑧 𝑦 𝑧 .

  • A <
  • B >
  • C =

Q4:

Given that π‘₯ is a whole number and 9 2 5 < π‘₯ 2 5 < 1 4 2 5 , what are the possible values of π‘₯ ?

  • A 1 0 , 1 1 , 1 2 , 1 3
  • B 9 , 1 0 , 1 1 , 1 2
  • C 1 0 , 1 2 , 1 4 , 1 3
  • D 1 1 , 1 2 , 1 3 , 1 4

Q5:

If π‘₯ is a nonnegative integer, under what condition is the expression √ π‘₯ < √ 6 4 true?

  • A π‘₯ < 6 4
  • B π‘₯ > 1 6
  • C π‘₯ > 6 4
  • D π‘₯ < 1 2 8
  • E π‘₯ > 1 2 8

Q6:

Find the solution set of the inequality π‘₯ √ 4 βˆ’ √ 2 5 ≀ √ 4 + √ 2 5 in ℝ . Give your answer in interval notation.

  • A [ βˆ’ 2 1 , ∞ [
  • B ] βˆ’ 2 1 , ∞ [
  • C [ 2 1 , ∞ [
  • D ] βˆ’ ∞ , βˆ’ 2 1 ]
  • E [ 4 , ∞ [
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