Question

Sole the Inequality:
$6x^{2} -3\ \textgreater \ 0$

Answer 1

$6x^2-3>0$

$\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\6x^2-3+3>0+3$

$\mathrm{Simplify}\\6x^2>3$

$\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x^2}{6}>\frac{3}{6}$

$x^2>\frac{1}{2}$

$\mathrm{For\:}u^n\:>\:a\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\:<\:-\sqrt[n]{a}\:or\:u\:>\:\sqrt[n]{a}\\x<-\sqrt{\frac{1}{2}}\quad \mathrm{or}\quad \:x>\sqrt{\frac{1}{2}}$