Linear Inequalities CBSE Questions & Answers

Linear Inequalities

This is Mathematics Class 11 Linear Inequalities CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Solve the system of inequalities \( - {\text{ 4x }} + {\text{ 1 }} \geq {\text{ }}0{\text{ }},{\text{ 3 }}--{\text{ 4x }} < {\text{ }}0\)
  • A
    ( - 4 , 3 )
  • B
    no solution
    Correct
  • C
    ( -2 , 3)
  • D
    ( 1 , 3 )
2
Solve the system of inequalities : \({\text{x }}--{\text{ 5 }} > {\text{ }}0\), \({{2x - 4} \over {x + 2}} < 2\)
  • A
    none of these
  • B
    \({\text{x }} > {\text{ 5}}\)
    Correct
  • C
    \({\text{x }} > {\text{ 2}}\)
  • D
    \({\text{x }} < {\text{ }} - {\text{ 2}}\)
3
Solve the system of inequalities : \({{x + 7} \over {x - 8}} > 2,{{2x + 1} \over {7x - 1}} > 5\)
  • A
    ( 3 , 6 )
  • B
    no solution
    Correct
  • C
    none of these
  • D
    ( 2 , 5 )
4
Solve the system of inequalities \( - {\text{ 2 }} \leq {\text{ 6x }}--{\text{ 1 }} < {\text{ 2}}\)
  • A
    \( - {1 \over 6} < x < {3 \over 2}\)
  • B
    \( - {1 \over 6} \le x < {1 \over 2}\)
    Correct
  • C
    \( - {1 \over 7} \le x > {1 \over 2}\)
  • D
    none of these
5
Solve the system of inequalities \( - {\text{ 2 }} < {\text{ 1 }}--{\text{ 3x }} < {\text{ 7}}\)
  • A
    \( - {\text{ 1 }} < {\text{ x }} < {\text{ 1}}\)
  • B
    \( - {\text{ 2 }} < {\text{ x }} < {\text{ 2}}\)
  • C
    none of these
  • D
    \( - {\text{ 2 }} < {\text{ x }} < {\text{ 1}}\)
    Correct
6
Solve the system of inequalitie: - 15 <\({{3(x - 2)} \over 5} \le 0\).
  • A
    \( - {\text{13 }} < {\text{ x }} < {\text{ 2}}\)
  • B
    \( - {\text{13 }} < {\text{ x }} < {\text{ 13}}\)
  • C
    \( - {\text{ 23 }} < {\text{ x }} < {\text{ 23}}\)
  • D
    \( - {\text{ 23 }} < {\text{ x }} \leq {\text{ 2}}\)
    Correct
7
The solution set for \({\text{| 3x }}--{\text{ 2 | }} \leq {\text{ 1}}/{\text{2}}\)
  • A
    [ 1/2 ,5/6 ]
    Correct
  • B
    [ 5/6 , 1/2 ]
  • C
    [ 2/3 , 2/3 ]
  • D
    none of these
8
The solution set for \({\text{| x | }} > {\text{ 7}}\)
  • A
    none of these
  • B
    ( 7 , \(\infty \))
  • C
    \(\left( { - \infty , - 7} \right)\mathop \cup \nolimits^ (7,\infty )\)
    Correct
  • D
    \(\left( { - \infty , - 7} \right)\mathop \cap \nolimits^ (7,\infty )\)
9
The solution set for : \({{\left| x \right| - 1} \over {\left| x \right| - 2}} \ge 0,x \ne \pm 2\)
  • A
    (\( - \infty , - 2)\mathop \cup \nolimits^ \left( { - 1,1} \right)\mathop \cup \nolimits^ (2,\infty )\)
    Correct
  • B
    \(\left( { - 1,2} \right)\mathop \cup \nolimits^ (3,\infty )\)
  • C
    (\( - \infty , - 2)\mathop \cup \nolimits^ (2,\infty )\)
  • D
    ( -2 , 2 )
10
The solution set for : \(\left| {{{2(3 - x)} \over 5}} \right| < {3 \over 5}\)
  • A
    none of these
  • B
    \(({1 \over 2},{3 \over 2})\)
  • C
    \(({1 \over 4},{3 \over 4})\)
  • D
    ( 3/2 , 9/2 )
    Correct
11
Find all pairs of consecutive even positive integers, both of which are larger than 5, such that their sum is less than 23.
  • A
    (4,6),(6,8),(8,10)
  • B
    none of these
  • C
    (6,8) ,(8,10) ,(10,12)
    Correct
  • D
    (3,5), (5,7),(7,9)
12
Solve : \({\text{3x }} + {\text{ 5 }} < {\text{ x }}--{\text{ 7}}\), when x is a real number
  • A
    \({\text{x }} > {\text{ }} - {\text{ 6}}\)
  • B
    \({\text{x }} < {\text{ }} - {\text{ 6}}\)
    Correct
  • C
    \({\text{x }} < - {\text{12}}\)
  • D
    none of these
13
If x belongs to set of integers , A is the solution set of \({\text{2 }}\left( {{\text{ x }}--{\text{ 1 }}} \right){\text{ }} < {\text{ 3x }}--{\text{ 1}}\) and B is the solution set of \({\text{4x }}--{\text{ 3 }} \leq {\text{ 8 }} + {\text{ x}}\), find A \(\mathop \cap \nolimits B\)
  • A
    { 0 ,1 ,2 }
  • B
    { 0 , 2 ,4 }
  • C
    { 1, 2 , 3 }
  • D
    { 0, 1, 2, 3 }
    Correct
14
The solution set of the inequation: \({{2x - 1} \over 3} - {{3x} \over 5} + 1 < 0,x \in Wis:\)
  • A
    x \( \in W\)
  • B
    null set
    Correct
  • C
    none of these.
  • D
    x \( \in N\)
15
The solution set of \({\text{6x }}--{\text{ 1 }} > {\text{ 5}}\) is :
  • A
    \(\{ x:x > 1,x \in R\} \)
    Correct
  • B
    none of these
  • C
    \(\{ x:x < 1,x \in W\} \)
  • D
    \(\{ x:x < 1,x \in N\} \)