91Ó°ÊÓ

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\text { Solve for } x: \sqrt[3]{x \sqrt{x}}=9$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\text { Solve for } x: x^{\frac{5}{6}}+x^{\frac{2}{3}}-2 x^{\frac{1}{2}}=0$$

Describe ways in which solving a linear inequality is different than solving a linear equation.

What is a compound inequality and how is it solved?

Will help you prepare for the material covered in the next section. Is \(-1\) a solution of \(3-2 x \leq 11 ?\)

Describe how to solve an absolute value inequality involving the symbol <. Give an example.

Will help you prepare for the material covered in the next section. $$\text { Solve: }-2 x-4=x+5$$

Describe how to solve an absolute value inequality involving the symbol \(>.\) Give an example.

Will help you prepare for the material covered in the next section. $$\text { Solve: } \frac{x+3}{4}=\frac{x-2}{3}+\frac{1}{4}$$

Use the Pythagorean Theorem and the square root property to solve Exercises \(140-143 .\) Express answers in simplified radical form. Then find a decimal approximation to the nearest tenth. A rectangular park is 6 miles long and 3 miles wide. How long is a pedestrian route that runs diagonally across the park?