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Chapter 1: Problem 22
Divide and express the result in standard form. $$ \frac{3}{4+i} $$
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Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. What's wrong with this argument? Suppose \(x\) and \(y\) represent two real numbers, where \(x>y .\) $$ \begin{aligned} 2 &>1 \\ 2(y-x) &>1(y-x) \\ 2 y-2 x &>y-x \\ y-2 x &>-x \\ y &>x \end{aligned} $$ The final inequality, \(y>x,\) is impossible because we were initially given \(x>y\)
In Exercises 122鈥�133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. The toll to a bridge is 3.00 dollar. A three-month pass costs 7.50 dollar and reduces the toll to 0.50 dollar. A six-month pass costs $30 and permits crossing the bridge for no additional fee. How many crossings per three-month period does it take for the three-month pass to be the best deal?
In Exercises 59鈥�94, solve each absolute value inequality. $$ 4+\left|3-\frac{x}{3}\right| \geq 9 $$
In Exercises \(103-104,\) use the graph of \(y=|4-x|\) to solve each inequality. $$ |4-x|<5 $$
Will help you prepare for the material covered in the next section. If \(-8\) is substituted for \(x\) in the equation \(5 x^{\frac{2}{3}}+11 x^{\frac{1}{3}}+2=0\) is the resulting statement true or false?
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