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Linear Inequations Maths - Linear Inequations

Maharashtra Board - STD 11 - Maths (MSBSHSE - Semi English Medium). 119 questions in this chapter.

Question types

Linear Inequations question types

119 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

119
Questions
6
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 :
  • 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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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
    $\text{x}\in(-7,11)$
  • 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 17Solve the Following Question.(3 Marks)3 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 23Solve the Following Question.(4 Marks)4 Marks
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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