Solve `|x^2-1|+x^2-4| gt 3` – InterviewSolution

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1.	Solve `\|x^2-1\|+x^2-4\| gt 3`
Answer» Correct Answer - `-1 lt x lt 1 or x lt -2 or x gt 2 ` We have `\|x^2-1\|+x^2-4\| gt 3 ` `rArr \|x^2-1\| +\|4-x^2\| gt \|x^2 -1+4-x^2\|` `rArr x^2 -1 )(x^2-4) lt 0 ` `rArr x^2 lt 1 or x^2 gt 4` `rArr -1 lt x lt 1 or x lt -2 or x gt 2`

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