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Chapter 1: Problem 33
After a \(20 \%\) reduction, you purchase a television for \(\$ 336\) What was the television's price before the reduction?
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Solve compound inequality. \(-3 \leq \frac{2}{3} x-5<-1\)
Solve compound inequality. \(-6< x-4 \leq 1\)
Use interval notation to express solution sets and graph each solution set on a number line. Solve linear inequality. \(1-\frac{x}{2}>4\)
Determine whether statement makes sense or does not make sense, and explain your reasoning. I can check inequalities by substituting 0 for the variable: When 0 belongs to the solution set. I should obtain a true statement, and when 0 does not belong to the solution set, I should obtain a false statement.
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.
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