The functions type(x, positive), type(x, negative), type(x, nonnegative), and type(x, nonpositive) return true if x is a positive, negative, non-negative, or non-positive extended_numeric number, respectively. Otherwise, false is returned.

$\mathrm{type}\left(0\,\mathrm{positive}\right)$

$\mathrm{false}$

$\mathrm{type}\left(-1.79\,\mathrm{negative}\right)$

$\mathrm{true}$

$\mathrm{type}\left(0\,\mathrm{nonnegative}\right)$

$\mathrm{true}$

$\mathrm{type}\left(-\mathrm{\∞}\,\mathrm{nonpositive}\right)$

$\mathrm{true}$

$\mathrm{type}\left(x^2\,\mathrm{nonnegative}\right)$

$\mathrm{false}$

$\mathrm{type}\left(\sqrt{8}\,\mathrm{positive}\right)$

$\mathrm{false}$