Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 28

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JEE Main/Advance

IMPORTANT

Earn 100

Complete set of values of $x$ satisfying inequality $||x - 1| - 5| < 2 x - 5$ is

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Important Questions on Set Theory and Real Number System

HARD

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 29

If

|x^{2} - 2 x + 2| - |2 x^{2} - 5 x + 2| = |x^{2} - 3 x|

, then the set of values of

x

is

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 30

The complete solution set of the equation

|x^{2} - 5 x + 6| + |x^{2} + 12 x + 27| = |17 x + 21|

is

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IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Archives>Q 1

If

A, B

and

C

are three sets, such that

A \cap B = A \cap C

and

A \cup B = A \cup C

, then