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Chapter 1: Problem 36
Including \(5 \%\) sales tax, an inn charges \(\$ 252\) per night. Find the inn's nightly cost before the tax is added.
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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.
Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. A company manufactures and sells blank audiocassette tapes. The weekly fixed cost is \(\$ 10,000\) and it costs \(\$ 0.40\) to produce each tape. The selling price is \(\$ 2.00\) per tape. How many tapes must be produced and sold each week for the company to generate a profit?
Describe ways in which solving a linear inequality is different than solving a linear equation.
Solve absolute value inequality. \(\left|3-\frac{2}{3} x\right|>5\)
Solve absolute value inequality. \(\left|\frac{2 x+6}{3}\right|<2\)
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