Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 9

HARD

JEE Main

IMPORTANT

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The number of integral values of $x$ satisfying the equation $|x - | x - 4 || = 4$ is

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Important Questions on Inequalities and Modulus

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 10

The solution of

|2 x - 3| < |x + 2|

is

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 11

The solution of

|\frac{1}{x} - 2| < 4

is

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 12

The solution of

|x + \frac{1}{x}| > 2

is

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 13

The solution of the inequality

\frac{| x + 2 | - | x |}{\sqrt{8 - x^{3}}} \geq 0

is

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 14

If

|\frac{12 x}{4 x^{2} + 9}| \leq 1

, then

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 15

Let

a, b, c

and

d

be real numbers, such that

| a - b | = 2, | b - c | = 3

and

| c - d | = 4

. Then, the sum of all possible values of

| a - d |

is

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 16

The number of solutions of the equations

\sqrt{x^{2}} - \sqrt{(x - 1)^{2}} + \sqrt{(x - 2)^{2}} = \sqrt{5}

is

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 1 - Inequalities and Modulus>DPP>Q 17

If

|x^{2} - 2 x - 8| + |x^{2} + x - 2| = 3 | x + 2 |

, then the set of all real values of

x

is