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Chapter 1: Problem 85
Find all values of \(x\) satisfying the given conditions. $$y=|5-4 x| \text { and } y=11$$
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Find all values of \(x\) satisfying the given conditions. $$ y_{1}=\frac{2 x}{x+2}, y_{2}=\frac{3}{x+4}, \text { and } y_{1}+y_{2}=1 $$
In Exercises 122鈥�133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. On two examinations, you have grades of 86 and 88. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of A, meaning a final average of at least 90. a. What must you get on the final to earn an \(A\) in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. If your final average is less than \(80,\) you will lose your \(\mathrm{B}\) in the course. Describe the grades on the final that will cause this to happen.
In Exercises 95鈥�102, use interval notation to represent all values of x satisfying the given conditions. $$ y=|2 x-5|+1 \text { and } y>9 $$
Will help you prepare for the material covered in the first section of the next chapter. Here are two sets of ordered pairs: $$ \begin{aligned} &\text { set } 1:\\{(1,5),(2,5)\\}\\\ &\operatorname{set} 2:\\{(5,1),(5,2)\\} \end{aligned} $$ In which set is each x@coordinate paired with only one y@coordinate?
In Exercises \(103-104,\) use the graph of \(y=|4-x|\) to solve each inequality. $$ |4-x|<5 $$
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