SOLUTION: Calculate the range of values of x for which x^2=4x-5>5x-3 Can you tell me why must the graph be above the x axis?

Question 966924: Calculate the range of values of x for which x^2=4x-5>5x-3
Can you tell me why must the graph be above the x axis?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
x^2=4x-5>5x-3

The equality symbol must be mistake for the PLUS symbol.

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.

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, , between numberA and numberB, means "is greater than". This meaning is according to convention.

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