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Solve |x^2-1|+x^2-4| gt 3...

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

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The correct Answer is:
`-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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