How do you graph $y < x^{2} - 5 x + 4$ $y<x^2-5x+4$ ?

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How do you graph $y < x^{2} - 5 x + 4$ $y<x^2-5x+4$ ?

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Answer 1 · 2017-12-03T12:46:19

See below.

Explanation:

First graph $y = x^{2} - 5 x + 4$ $y=x^2-5x+4$ . Use a dashed line since this is a less than and not a less than or equal to inequality and the curve will not be an included region.

With graph plotted test for values inside and outside of the parabola.

Inside parabola:

$(2, 2)$ $(2,2)$

$2 < {(2)}^{2} - 5 (2) + 4$ $2 < (2)^2-5(2)+4$

$2 < 4 - 10 + 4$ $2 < 4-10+4$

$2 < - 2$ $2 < -2$

This is false, so included area is outside of parabola.

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How do you graph $y < x^{2} - 5 x + 4$ $y<x^2-5x+4$ ?

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How do you graph $y < x^{2} - 5 x + 4$ $y<x^2-5x+4$ ?