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Chapter 9: Problem 2
Find the intersection of the sets. $$\\{1,3,7\\} \cap\\{2,3,8\\}$$
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Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I'll win the contest if I can complete the crossword puzzle in 20 minutes plus or minus 5 minutes, so my winning time, \(x,\) is modeled by \(|x-20| \leq 5\)
The graphs of solution sets of systems of inequalities involve finding the intersection of the solution sets of nwo or more incqualities. By contrast, in Exercises \(53-54\) you will be graphing the union of the solution sets of two inequalities. \(\left\\{\begin{array}{l}6 x-y \leq 24 \\ 6 x-y>24\end{array}\right.\)
Solve each inequality using a graphing utility. Graph each side separately in the same viewing rectangle. The solution set consists of all values of \(x\) for which the graph of the left side lies above the graph of the right side. $$|x+4|>-1$$
Will help you prepare for the material covered in the next section. Find all values of \(x\) satisfying \(3 x-1=x+5\) or \(3 x-1=-(x+5)\)
Solve by graphing: $$\left\\{\begin{array}{l}y=3 x-2 \\\y=-2 x+8\end{array}\right.$$
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