Question

In the given problem, solve and graph. Express answers in both inequality and interval notaion.$x^2+1<2x$

Answer 1

$x^2+1<2x$

$x^2+1-2x<0$

${(x-1)}^2<0$

$(x-1<0)and(x-1>0)$

$(x<1)and(x>1)$

$1<x>1\Rightarrow$ No solution for $x\in R$

Interval notation: $[1,1]$