91Ó°ÊÓ

Solve the given problems by setting up and solving appropriate inequalities. Graph each solution. Determine the values of \(x\) that are in the domain of the function \(f(x)=\sqrt{2 x-10}\).

Use a calculator to display the solution of the given inequality or system of inequalities. $$\begin{aligned} &y>2 x-1\\\ &y

Solve the given inequalities graphically by using a calculator. See Example 10. $$x^{4}

Solve the given problems by setting up and solving appropriate inequalities. Graph each solution. Determine the values of \(x\) that are in the domain of the function \(f(x)=1 / \sqrt{3-0.5 x}\).

Solve the given inequalities graphically by using a calculator. $$3 x^{4}+x+1 > 5 x^{2}$$

graph the given inequalities on the number line. \(x \leq 4\) or \(x > -4\)

Solve the given problems. A motorist notes the gasoline gauge and estimates there are about 9 gal in the tank, but knows the estimate may be off by as much as 1 gal. This means we can write \(|n-9| \leq 1,\) where \(n\) is the number of gallons in the tank. Using this inequality, what distance can the car go on this gas, if it gets 25 mi/gal?

Use a calculator to display the solution of the given inequality or system of inequalities. $$\begin{aligned} &x<3-x\\\ &y>3 x-x^{3} \end{aligned}$$

Use a calculator to display the solution of the given inequality or system of inequalities. $$\begin{aligned} &y>x^{2}+2 x-8\\\ &y<\frac{1}{x}-2 \end{aligned}$$

Solve the given problems by setting up and solving appropriate inequalities. Graph each solution. For what values of \(k\) are the roots of the equation \(x^{2}-k x+9=0\) imaginary?