The solution set of the inequality $\frac{\left|x+2\right|-x}{x}<2$ is

Important Questions on Set Theory and Real Number System

MEDIUM

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 25

Number of solutions of the equation $\left|2-\left|x\right|\right|=x+4$ is

MEDIUM

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 26

Number of integral values of $x$ satisfying the inequality $\frac{x^2+6x-7}{\left|x+2\right|\left|x+3\right|}<0$ is

MEDIUM

JEE Main/Advance

IMPORTANT

Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 27

If $-4\le x<2$, then $\left|\left|x+2\right|-3\right|$ lies in the interval

MEDIUM

JEE Main/Advance

IMPORTANT

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

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

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 $\left|x^2-2x+2\right|-\left|2x^2-5x+2\right|=\left|x^2-3x\right|$, then the set of values of $x$ is

HARD

JEE Main/Advance

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 $\left|x^2-5x+6\right|+\left|x^2+12x+27\right|=\left|17x+21\right|$ is

MEDIUM

JEE Main/Advance

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