91Ó°ÊÓ

In Exercises \(40-42,\) you are working as an animator. Each frame in an animated feature film takes at least one hour to draw. When projected, 35-millimeter film runs at 24 frames per second. A 2 \(\frac{1}{2}\) -hour movie has about \(216,000\) frames. Write an inequality that describes the number of hours it would take to draw the frames needed for a \(1 \frac{1}{2}\) -hour animated feature film.

Sketch the graph of the inequality. $$x \leq 3.5$$

Solve the inequality. Then graph the solution. $$|10-4 x| \leq 2$$

Evaluate the expression. \(3 x+2\) when \(x=-4\)

Evaluate the expression. \(2(r+s)\) when \(r=2\) and \(s=4\)

Sketch the graph of the inequality. $$\frac{1}{4} x+\frac{1}{2} y<1$$

Solve the equation. $$ 4 x=-28 $$

The test scores in your class range from 60 to \(100 .\) Write an absolute-value inequality describing the range of the test scores.

Your car averages 28 miles per gallon in the city. The actual mileage varies from the average by at most 4 miles per gallon. Write an absolute-value inequality that shows the range for the mileage your car gets.

You have S12 to spend on fruit for a meeting. Grapes cost \(\$ 1\) per pound and peaches cost \(\$ 1.50\) per pound. Let \(x\) represent the number of pounds of grapes you can buy. Let \(y\) represent the number of pounds of peaches you can buy. Write and graph an inequality to model the amounts of grapes and peaches you can buy.