Give intervals for the following

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$\{ X \}$ is fractional part of $X$.

$[ X ]$ is greatest integer function (integral part of $X$)

$| X |$ is modulus of $X$

1) $X^2 > \{ X \}$

2) $X^2 > [ X ]$

3) $X^2 ≥ 4$

4) $X^2 > | X |$

5) $[ X ] ≤ | X |$

Also can somebody please explain with the graph, it would become much easier to understand.

Regards