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Chapter 1: Problem 8
Plot the given point in a rectangular coordinate system. $$(3,-2)$$
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Which one of the following is true? a. Some irrational numbers are not complex numbers. b. \((3+7 i)(3-7 i)\) is an imaginary number. c. \(\frac{7+3 i}{5+3 i}=\frac{7}{5}\) d. In the complex number system, \(x^{2}+y^{2}\) (the sum of two squares) can be factored as \((x+y i)(x-y i)\)
In Exercises \(29-44,\) perform the indicated operations and write the result in standard form. $$\sqrt{-64}-\sqrt{-25}$$
In Exercises \(69-72,\) use inspection to describe each inequality's solution set. Do not solve any of the inequalities. $$ (x-2)^{2} \leq 0 $$
Write a quadratic inequality whose solution set is \([-3,5]\)
Solve each rational inequality in Exercises \(29-48,\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \frac{x}{x-3}>0 $$
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