Inequalities Quiz - CBSE Class 11 Mathematics

Free practice quiz: Inequalities (CBSE Class 11 Mathematics). 15 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. For the inequality 3x + 2 < 11, which value can x be?

   1. x = 2
   2. x = 3
   3. x = 4
   4. x = 5
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   Answer: A. x = 2

   3x + 2 < 11. Subtract 2 from both sides: 3x < 9. Divide by 3: x < 3. Option 'x = 2' satisfies this.

2. Find the values of x for which the inequality x/2 > 3 holds.

   1. x > 6
   2. x > 1.5
   3. x < 3
   4. x < 6
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   Answer: A. x > 6

   Multiply both sides by 2 to solve x/2 > 3: x > 6. Therefore, 'x > 6' is the solution.

3. What is the solution set for the inequality 2 - 3x >= 5?

   1. x <= -1
   2. x >= -1
   3. x = 1
   4. x = -1
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   Answer: A. x <= -1

   Subtract 2 from both sides: -3x >= 3. Divide by -3: x <= -1. Hence, 'x <= -1' is the solution set.

4. Assess the solution for x/4 < 7.

   1. x < 28
   2. x > 28
   3. x = 28
   4. x >= 28
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   Answer: A. x < 28

   Multiply both sides by 4: x < 28. Hence, the solution is 'x < 28'.

5. If 2(x - 3) > x + 1, what is x?

   1. x > 7
   2. x < 7
   3. x = 7
   4. x >= 7
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   Answer: A. x > 7

   Expand to 2x - 6 > x + 1. Subtract x: x - 6 > 1. Add 6: x > 7. So, 'x > 7' is the solution.

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