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Chapter 1: Problem 78
List the quadrant or quadrants satisfying each condition. $$x^{3}<0 \text { and } y^{3}>0$$
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Solve absolute value inequality. \(\left|\frac{2 x+2}{4}\right| \geq 2\)
A bank offers two checking account plans. Plan A has a base service charge of \(\$ 4.00\) per month plus 10 莽 per check. Plan \(\mathrm{B}\) charges a base service charge of \(\$ 2.00\) per month plus \(15 \phi\) per check. a. Write models for the total monthly costs for each plan if \(x\) checks are written. b. Use a graphing utility to graph the models in the same \([0,50,10]\) by \([0,10,1]\) viewing rectangle. c. Use the graphs (and the intersection feature) to determine for what number of checks per month plan A. will be better than plan B. d. Verify the result of part (c) algebraically by solving an inequality.
Solve absolute value inequality. \(|2 x-6|<8\)
Use interval notation to express solution sets and graph each solution set on a number line. Solve linear inequality. \(5(3-x) \leq 3 x-1\)
Solve absolute value inequality. \(|3 x-8|>7\)
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