91Ó°ÊÓ

Graph and write interval notation for each compound inequality. $$ 3

Solve. Let \(f(x)=|2 x+6| .\) Find all \(x\) for which \(f(x)=8\)

Graph and write interval notation for each compound inequality. $$ -4 \leq-x<2 $$

Solve. $$ |n-3|=|3-n| $$

Graph each system of inequalities. Find the coordinates of any vertices formed. $$ \begin{aligned} &3 x+4 y \geq 12\\\ &5 x+6 y \leq 30\\\ &1 \leq x \leq 3 \end{aligned} $$

Graph and write interval notation for each compound inequality. $$ t \geq 2 \text { or }-3>t $$

Explain in your own words why a boundary line is drawn dashed for the symbols \(<\) and \(>\) and why it is drawn solid for the symbols \(\leq\) and \(\geq\)

Graph and write interval notation for each compound inequality. $$ -x<3 \text { or } x<-6 $$

When graphing linear inequalities, Ron makes a habit of always shading above the line when the symbol \(\geq\) is used. Is this wise? Why or why not?

Graph and write interval notation for each compound inequality. $$ 6>-x \geq 0 $$