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.

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

Answer: B.

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

Answer: C.

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Q 173 Marks Question3 Marks
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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Q 183 Marks Question3 Marks
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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How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?
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To receive grade 'A' in a course, one must obtain an average of 90 marks or more in five papers each of 100 marks. If Shikha scored 87, 95, 92 and 94 marks in first four paper, find the minimum marks that she must score in the last paper to get grade 'A' in the course.
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