How do you determine if (-1,-3) is a solution to $y \geq - 5 x^{4} + 7 x^{3} + 8$ $y>=-5x^4+7x^3+8$ ?

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Answer 1 · 2016-11-13T15:25:16

Substitute the point in the inequality. If the end result makes sense mathematically, it is a solution.

$- 3 \geq^{?} - 5 {(- 1)}^{4} + 7 {(- 1)}^{3} + 8$ $-3 ≥^? -5(-1)^4 + 7(-1)^3 + 8$

$- 3 \geq^{?} - 5 (1) + 7 (- 1) + 8$ $-3 ≥^? -5(1) + 7(-1) + 8$

$- 3 \geq^{?} - 5 - 7 + 8$ $-3 ≥^? -5 - 7 + 8$

$- 3 \geq - 4 \sqrt$ $-3 ≥ -4" "color(green)(√)$

So, the point $(- 1, - 3)$ $(-1, -3)$ is a solution to the inequality.

Hopefully this helps!

How do you determine if (-1,-3) is a solution to y≥−5x4+7x3+8y>=-5x^4+7x^3+8?