Question types

Linear Inequations question types

119 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

119
Questions
5
Question groups
5
Question types
Sample Questions

Linear Inequations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
If |x−1| x - 1 > 5, then:
  • A
    $\text{x}\in(-4,6)$
  • B
    $\text{x}\in[-4,6]$
  • $\text{x}\in(-\infty,-4)\cup(6,\infty)$
  • D
    $\text{x}\in(-\infty,-4)\cup[6,\infty)$

Answer: C.

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Q 2MCQ1 Mark
If − 3x + 17 < -13, then:
  • $\text{x}\in(10,\infty)$
  • B
    $\text{x}\in[10,\infty)$
  • C
    $\text{x}\in(-\infty,10]$
  • D
    $\text{x}\in[-10,10)$

Answer: A.

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Q 3MCQ1 Mark
If $\frac{|\text{x}-2|}{\text{x}-2}\geq0,$ then:
  • $\text{x}\in[2,\infty)$
  • B
    $\text{x}\in(2,\infty)$
  • C
    $\text{x}\in(-\infty,2)$
  • D
    $\text{x}\in(-\infty,2]$

Answer: A.

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Q 4MCQ1 Mark
If x is a real number and |x| < 5, then:
  • A
    $\text{x}\geq5$
  • $-5<\text{x}<5$
  • C
    $\text{x}\leq-5$
  • D
    $-5\leq\text{x}\leq5$

Answer: B.

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Q 5MCQ1 Mark
If $\text{|x}+2|\leq9,$ then:
  • A
    $\text{x}\in(-7,11)$
  • $\text{x}\in[-11,7]$
  • C
    $\text{x}\in(-\infty,-7)\cup(11,\infty)$
  • D
    $\text{x}\in(-\infty,-7)\cup[11,\infty)$

Answer: B.

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The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 7.2 and 7.8. If the first two pH reading are 7.48 and 7.85, find the range of pH value for the third reading that will result in the acidity level being normal.
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The longest side of a triangle is three times the shortest side and third side is 2 cm shorter than the longest side if the perimeter of the triangles at least 61 cm, find the minimum length of the shortest-side.
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Solve the following systems of linear inequations graphically: $\text{x}-\text{y}\leq1,\text{x}+2\text{y}\leq8,2\text{x}+\text{y}\geq2,\text{x}\geq0$ and $\text{y}\geq0$
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