Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 19

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If $n > 0$ and exactly $15$ integers satisfy $(x + 6) (x - 4) (x - 5) (2 x - n) \leq 0$ , then the sum of digits of the least possible value of $n$ is

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Important Questions on Set Theory and Real Number System

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 20

The solution of the inequality

\frac{x + 7}{x - 5} + \frac{3 x + 1}{2} \geq 0

is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 21

The complete solution set of inequality $\frac{{(x - 5)}^{1005} {(x + 8)}^{1008} (x - 1)}{x^{1006} {(x - 2)}^{3} {(x - 3)}^{5} (x - 6) {(x + 9)}^{1010}} \leq 0$ is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 22

Sum of solutions of the equation

{|x|}^{3} - 4 {|x|}^{2} + 3 |x| = 0

is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 23

Number of integral roots of

|x - 1| |x^{2} - 2| = 2

is

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Mathematics for Joint Entrance Examination JEE (Advanced) Algebra>Chapter 1 - Set Theory and Real Number System>Exercises>Q 24

The solution set of the inequality

\frac{|x + 2| - x}{x} < 2

is

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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

|2 - |x|| = x + 4

is

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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} + 6 x - 7}{|x + 2| |x + 3|} < 0

is

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

If

- 4 \leq x < 2

, then

||x + 2| - 3|

lies in the interval