91Ó°ÊÓ

Solve each inequality. Graph the solution set and write the answer in interval notation. See Examples \(5-7\) $$3<19-2 j \leq 9$$

Solve and check each equation. $$-\frac{1}{6} z+\frac{1}{2}=\frac{3}{4}$$

Solve each inequality. Graph the solution set and write the answer in interval notation. See Examples \(5-7\) $$0 \leq 4-3 w \leq 7$$

Solve each formula for the indicated variable. $$E=\sigma T^{4}\( for \)\sigma$ (meteorology)$$

Solve each formula for the indicated variable. $$p=\rho g y\( for \)\rho$ (geology)$$

Solve and check each equation. $$\frac{3}{5}-\frac{2}{3} k=1$$

Solve each inequality. Graph the solution set and write the answer in interval notation. See Examples \(5-7\) $$-6<-5-z<0$$

Solve using the five "Steps for Solving Applied Problems." See Example 9. At noon, a truck and a car leave the same intersection traveling in the same direction. The truck is traveling at \(30 \mathrm{mph},\) and the car is traveling at \(42 \mathrm{mph} .\) At what time will they be 9 mi apart?

Solve each formula for the indicated variable. $$V=\frac{1}{3} \pi r^{2} h\( for \)h$ (geometry)$$

Write an inequality for each problem and solve. See ample 8 Oscar makes a large purchase at Home Depot and plans to rent one of its trucks to take his supplies home. The most he wants to spend on the truck rental is \(\$ 50.00 .\) If Home Depot charges \(\$ 19.00\) for the first 75 min and \(\$ 5.00\) for each additional 15 min, for how long can Oscar keep the truck and remain within his budget? (www.homedepot.com)