How do you solve $x^{2} < 10 - 3 x$ $x^2<10-3x$ using a sign chart?

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How do you solve $x^{2} < 10 - 3 x$ $x^2<10-3x$ using a sign chart?

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Answer 1 · 2017-03-28T07:46:03

# -5 < x < 2 graph{x^2 + 3 x - 10 [-10.24, 9.76, -9.44, 0.56]}

Explanation:

$x^{2} < 10 - 3 x$ $x^2 < 10 -3 x$
$x^{2} + 3 x - 10 < 0$ $x^2 + 3 x - 10 < 0$

$(x + 5) (x - 2) < 0$ $(x + 5)(x - 2) < 0$

........................ $- \infty$ $-oo$ ........... $- 5$ $-5$ ............ $2$ $2$ ................ $+ \infty$ $+oo$

$(x + 5)$ $(x + 5)$ ........................-................+...................+...................
$(x - 2)$ $(x - 2)$ ........................-................-....................+...................

$(x + 5) (x - 2)$ $(x + 5)(x - 2)$ .........+................-....................+..................

therefore,

# -5 < x < 2

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How do you solve $x^{2} < 10 - 3 x$ $x^2<10-3x$ using a sign chart?

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