91Ó°ÊÓ

Use a calculator to display the solution of the given inequality or system of inequalities. $$\begin{aligned} &y<3-x\\\ &y>3 x-x^{3} \end{aligned}$$

Graph the given inequalities on the number line. $$x \leq 4 \text { or } x>-4$$

Solve the given inequalities graphically by using a calculator. See Example \(8 .\) Round all decimals to the nearest hundredth. $$\log x < 1-2 x^{2}$$

Solve the given problems by setting up and solving appropriate inequalities. Graph each solution. Determine the values of \(x\) that are in the domain of the function \(f(x)=1 / \sqrt{3-0.5 x}\)

Graph the given inequalities on the number line. $$t \leq-5 \text { and } t \geq-5$$

Use inequalities involving absolute values to solve the given problems. The production \(p\) (in barrels) of oil at a refinery is estimated at \(2,000,000 \pm 200,000 .\) Express \(p\) using an inequality with absolute values and describe the production in a verbal statement.

Use a calculator to display the solution of the given inequality or system of inequalities. $$\begin{aligned} &y>x^{2}+2 x-8\\\ &y<\frac{1}{x}-2 \end{aligned}$$

Solve the given inequalities graphically by using a calculator. See Example \(8 .\) Round all decimals to the nearest hundredth. $$4 \cos 2 x > 2 x-3$$

Graph the given inequalities on the number line. $$x<1 \text { or } 1

Use inequalities involving absolute values to solve the given problems. According to the Waze navigation app, the time required for a driver to reach his destination is 52 min. If this time is accurate to ±3 min, express the travel time \(t\) using an inequality with absolute values.