Question 966924
x^2=4x-5>5x-3


The equality symbol must be mistake for the PLUS symbol.


{{{x^2+4x-5>5x-3}}}
{{{x^2+4x-5-5x+3>0}}}
{{{x^2-x-2>0}}}


If the left member is for a function, this is a parabola with a minimum vertex, opening UPWARD.
The solutions for the inequality will need to be x values so that the quadratic expression is
POSITIVE, according to the GREATER THAN ZERO statement.  This means, ABOVE THE x AXIS.



{{{(x-2)(x+1)>0}}}
Roots or "zeros" of the function are 2 and -1.  Between the roots, the expression is negative.
Outside the domain of the quadratic expression, the expression is positive.



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The symbol, {{{numberA>numberB}}}, between numberA and numberB, means "is greater than".  This meaning is according to convention.