I have been teaching high school mathematics for 12 years, with experience teaching Pre Calculus, Calculus, Algebra, Trigonometry etc....
Solve each inequality for x.
$$(a)\ln x<0 \quad \text { (b) } e^{x}>5$$
To solve a polynomial inequality, we factor the polynomialinto 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 theintervals_______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.$$x\left(1-x^{2}\right)^{3}>7\left(1-x^{2}\right)^{3}$$
At a price of $8 per ticket, a musical theater group can fill every seat in their 1700 seat performance hall. For every additional dollar charged for admission, the number of tickets sold drops by 95.a) What ticket price maximizes revenue? Round your answer to the nearest cent.price = $b) How many seats are sold at that price? Round your answer to the nearest whole number.number of seats sold =
