CRE 3 - Modulus | Algebra - Inequalities & Modulus

Join our Telegram Channel for CAT/MBA Preparation.

Direction for next 4 questions:

Find the range of values of x which satisfies the following inequalities.

1. CRE 3 - Modulus | Algebra - Inequalities & Modulus

|2x - 4| ≤ 6

  • (a)

    x ∈ (-∞, -1] ∪ [5, ∞)

  • (b)

    -5 ≤ x ≤ 5

  • (c)

    -1 ≤ x ≤ 5

  • (d)

    None of these

2. CRE 3 - Modulus | Algebra - Inequalities & Modulus

|3x - 5| ≥ 3

  • (a)

    x ∈ (-∞, 2/3] ∪ [8/3, ∞)

  • (b)

    2/3 ≥ x ≥ 8/3

  • (c)

    2/3 < x < 8/3

  • (d)

    None of these

3. CRE 3 - Modulus | Algebra - Inequalities & Modulus

||x - 1| - 2| > 3

  • (a)

    x ∈ (-∞, -4) ∪ (6, ∞)

  • (b)

    x ∈ (-4, 6)

  • (c)

    x ∈ (-∞, -5] ∪ [7, ∞)

  • (d)

    None of these

4. CRE 3 - Modulus | Algebra - Inequalities & Modulus

|2x + 4| ≥ |3x - 9|

  • (a)

    x ∈ (0, 14)

  • (b)

    x ∈ (-∞, 0], [15, ∞)

  • (c)

    x ∈ [1, 13]

  • (d)

    None of these

5. CRE 3 - Modulus | Algebra - Inequalities & Modulus

f(x) = |3x + 7| + 16. Find the value of x for which f(x) is minimum.

  • (a)

    0

  • (b)

    -3

  • (c)

    16

  • (d)

    -7/3

6. CRE 3 - Modulus | Algebra - Inequalities & Modulus

f(x) = |x - 1| + |x + 1| + |x + 3|. Find the least possible value of f(x).

  • (a)

    -1

  • (b)

    0

  • (c)

    2

  • (d)

    4

7. CRE 3 - Modulus | Algebra - Inequalities & Modulus

f(x) = |x - 1| + |x + 1| + |x + 3| + |x + 5|. Find the least possible value of f(x).

  • (a)

    3

  • (b)

    5

  • (c)

    8

  • (d)

    Cannot be determined

Feedback

Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.


© 2024 | All Rights Reserved | Apti4All