Question

Solve the following quadratic inequalities :
$x^2-6x+19\ge 0$

Answer 1

Given,

$x^2-6x+19\ge 0$

${(x-3)}^2+10\ge 0$

${(x-3)}^2\ge -10$

$\left[\begin{array}{cc}Solution:& Trueforallx\\ IntervalNotation:& (-\infty ,\infty )\end{array}\right]$