Home
Class 11
MATHS
Solve for x if (|x^(2)-4|)/(x^(2)+x-2) g...

Solve for `x` if `(|x^(2)-4|)/(x^(2)+x-2) gt 1`

Text Solution

AI Generated Solution

To solve the inequality \(\frac{|x^2 - 4|}{x^2 + x - 2} > 1\), we will break it down step by step. ### Step 1: Rewrite the Inequality We start with the inequality: \[ \frac{|x^2 - 4|}{x^2 + x - 2} > 1 \] This can be rewritten as: ...
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 1|2 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 2|4 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|8 Videos

  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Solve for x if x^2(1/x-2)= -4

Solve (|x-1|)/(x+2) gt 1

|(2x+1)/(x-1)| gt 2

Solve 2/x gt 3

Solve for x : (x-1)/(x-2)+(x-3)/(x-4)=3 1/3;\ \ x!=2,\ 4

Solve for x:2^(x+2) gt (1/4)^(1/x)

Solve x^(2)-x-2 gt 0 .

Solve for x : 1/(x+1)+2/(x+2)=4/(x+4),\ \ x!=1,\ -2,\ -4

Solve the inequality Q(x)=x^(3)-4x^(2)+4x gt0 .