Question

In the given problem, solve and graph. Express answers in both inequality and interval notaion.$x^2+3>2x$

Answer 1

$x^2+3>2x$

$x^2+3-2x>0$

${(x-1)}^2+2>0$

${(x-1)}^2>-2$

True for all x

$x^2+3>2x:\left[\begin{array}{cc}Solution:& Trueforallx\\ IntervalNotation:& (-\infty ,\infty )\end{array}\right]$