91Ó°ÊÓ

Use interval notation to express solution sets and graph each solution set on a number line. Solve each linear inequality. $$-4(x+2)>3 x+20$$

You invested \(\$ 7000\) in two accounts paying \(6 \%\) and \(8 \%\) annual interest. If the total interest earned for the year was \(\$ 520,\) how much was invested at each rate?

Solve each equation with rational exponents. Check all proposed solutions. $$ \left(x^{2}-x-4\right)^{\frac{2}{4}}-2=6 $$

In Exercises \(35-46,\) determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $$ x^{2}+3 x $$

In Exercises \(29-44\), perform the indicated operations and write the result in standard form. $$ \frac{-6-\sqrt{-12}}{48} $$

Contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind , solve the equation. \(\frac{1}{x-1}+5=\frac{11}{x-1}\)

Use interval notation to express solution sets and graph each solution set on a number line. Solve each linear inequality. $$1-(x+3) \geq 4-2 x$$

You invested \(\$ 11.000\) in two accounts paying \(5 \%\) and \(8 \%\) annual interest. If the total interest earned for the year was \(\$ 730,\) how much was invested at each rate?

Contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind , solve the equation. \(\frac{3}{x+4}-7=\frac{-4}{x+4}\)

Use interval notation to express solution sets and graph each solution set on a number line. Solve each linear inequality. $$5(3-x) \leq 3 x-1$$