Joshua E.

Solve each inequality for x.

$$(a)\ln x<0 \quad \text { (b) } e^{x}>5$$

To solve a polynomial inequality, we factor the polynomial
into irreducible factors and find all the real_______polynomial. Then we find the intervals determined by the real__________sign of the polynomial on that interval. Let
$$P(x)=x(x+2)(x-1)$$
Fill in the diagram below to find the intervals on which
$P(x) \geq 0$
From the diagram above we see that $P(x) \geq 0$ on the
intervals_______and________.

$3-16=$ Polynomial Inequalities Solve the inequality.
$$2 x^{3}-x^{2}<9-18 x$$

$3-16=$ Polynomial Inequalities Solve the inequality.
$$x^{4}-7 x^{2}-18<0$$

$3-16=$ Polynomial Inequalities Solve the inequality.
$$x^{3}+x^{2}-17 x+15 \geq 0$$

$3-16=$ Polynomial Inequalities Solve the inequality.
$$x\left(1-x^{2}\right)^{3}>7\left(1-x^{2}\right)^{3}$$