91Ó°ÊÓ

Use interval notation to express solution sets and graph each solution set on a number line. Solve each linear inequality. $$-9 x \geq 36$$

List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational mumbers, f. real numbers. $$\left\\{-9,-\frac{4}{5}, 0,0.25, \sqrt{3}, 9.2, \sqrt{100}\right\\}$$

List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational mumbers, f. real numbers. $$\\{-7,-0 . \overline{6}, 0, \sqrt{49}, \sqrt{50}\\}$$

As part of a landscaping project, you put in a flower bed measuring 10 feet by 12 feet. You plan to surround the bed with a uniform border of low-growing plants that require 1 square foot each when mature. If you have 168 of these plants, how wide a strip around the flower bed should you prepare for the border?

A 20 -foot ladder is 15 feet from a house. How far up the house, to the nearest tenth of a foot, does the ladder reach?

A rectangular piece of land whose length its twice its width has a diagonal distance of 64 yards. How many yards, to the nearest tenth of a yard, does a person save by walking diagonally across the land instead of walking its length and its width?

In Exercises \(33-44,\) add or subtract terms whenever possible. $$3 \sqrt{8}-\sqrt{32}+3 \sqrt{72}-\sqrt{75}$$

In Exercises \(33-44,\) add or subtract terms whenever possible. $$3 \sqrt{54}-2 \sqrt{24}-\sqrt{96}+4 \sqrt{63}$$

Use interval notation to express solution sets and graph each solution set on a number line. Solve each linear inequality. $$\frac{4 x-3}{6}+2 \geq \frac{2 x-1}{12}$$

A group of friends agrees to share the cost of a \(\$ 480,000\) vacation condominium equally. Before the purchase is made, four more people join the group and enter the agreement. As a result, each person's share is reduced by \(\$ 32,000 .\) How many people were in the original group?