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Chapter 1: Problem 138
Describe how to solve an absolute value inequality involving the symbol <. Give an example.
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In Exercises \(115-122,\) find all values of \(x\) satisfying the given conditions. $$ y_{1}=\frac{3}{x-1}, y_{2}=\frac{8}{x}, \text { and } y_{1}+y_{2}=3 $$
Will help you prepare for the material covered in the next section. $$\text{Rationalize the denominator: }\frac{7+4 \sqrt{2}}{2-5 \sqrt{2}}$$
The rate for a particular international person-to-person telephone call is \(\$ 0.43\) for the first minute, \(\$ 0.32\) for each additional minute, and a \(\$ 2.10\) service charge. If the cost of a call is \(\$ 5.73,\) how long did the person talk?
In a round-robin chess tournament, each player is paired with every other player once. The formula $$N=\frac{x^{2}-x}{2}$$ models the number of chess games, \(N,\) that must be played in a round-robin tournament with \(x\) chess players. Use this formula to solve Exercises \(131-132\). In a round-robin chess tournament, 36 games were played. How many players were entered in the tournament?
A machine produces open boxes using square sheets of metal. The figure illustrates that the machine cuts equal sized squares measuring 2 inches on a side from the corners and then shapes the metal into an open box by turning up the sides. If each box must have a volume of 200 cubic inches, find the length and width of the open box.
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