91Ó°ÊÓ

Solve the inequalities in Exercises \(19-34,\) expressing the solution sets as intervals or unions of intervals. Also, show each solution set on the real line. $$ \left|\frac{2}{x}-4\right|<3 $$

Graph \(y=\tan x\) and \(y=\cot x\) together for \(-7 \leq x \leq 7 .\) Comment on the behavior of \(\cot x\) in relation to the signs and values of \(\tan x .\)

In Exercises 17–30, write an equation for each line described. Passes through \((4,10)\) and is perpendicular to the line \(6 x-3 y=5\)

Solve the inequalities in Exercises \(19-34,\) expressing the solution sets as intervals or unions of intervals. Also, show each solution set on the real line. $$ |2 s| \geq 4 $$

In Exercises 5–30, determine an appropriate viewing window for the given function and use it to display its graph. $$ y=x+\frac{1}{10} \sin 30 x $$

In Exercises \(19-30,\) say whether the function is even, odd, or neither. Give reasons for your answer. $$ h(t)=2 t+1 $$

Graph \(y=\sin x\) and \(y=\lfloor\sin x\rfloor\) together. What are the domain and range of \(|\sin x| ?\)

In Exercises \(19-30,\) say whether the function is even, odd, or neither. Give reasons for your answer. $$ h(t)=2|t|+1 $$

Solve the inequalities in Exercises \(19-34,\) expressing the solution sets as intervals or unions of intervals. Also, show each solution set on the real line. $$ |s+3| \geq \frac{1}{2} $$

In Exercises 17–30, write an equation for each line described. Passes through \((0,1)\) and is perpendicular to the line \(8 x-13 y=13\)