CAT Practice : Inequalities

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Inequalities - Range

    Q.23:|x3 – 3x + 5| > -4. What range of x satisfies this?
    1. [0, )
    2. [-4, )
    3. All real values of x
    4. [4, )


  • Correct Answer
    Choice C. All real values of x

Detailed Solution

It may be late in the night when you solve this question. Overload of details might have dulled your senses. Mathematical ideas might be playing games with you. But that does not mean you should share a gift horse in the mouth.

Modulus of something > - 4. When can this not happen?

Who said CAT Preparation cannot be fun ?

This can never happen.

All real values of x satisfy the above inequality.

Correct Answer: C. All real values of x

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More questions from Inequalities

  1. Inequalities - Integer Solutions
  2. Cubic Inequalities
  3. Quadratic Inequalities
  4. Integer Roots - Trial and Error
  5. Modulus Inequalities
  6. Natural Numbers
  7. Integers - Polynomials
  8. Modulus - Quadratic
  9. Quadratic Inequalities
  10. Inequalities - Integer Solutions
  11. Modulus - Tricky Question
  12. Maximum Possible Value
  13. Inequalities - Integer solutions
  14. Maximum Possible Value
Inequalities are crucial to understand many topics that are tested in the CAT. Having a good foundation in this subject will make us tackling questions in Coordinate Geometry, Functions, and most importantly in Algebra much more comfortable.