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

Answer

`-1 lt x lt 1 or x lt -2 or x gt 2 `

Explanation

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`