## Intermediate Algebra (6th Edition)

Changing the given inequality, $3y\ge x ,$ to equality and then isolating $y$ result to \begin{array}{l}\require{cancel} 3y=x \\\\ y=\dfrac{1}{3}x .\end{array} Use the table of values below to graph this line. Since the inequality used is "$\ge$", use a solid line. Using the test point $( 0,2 )$, then \begin{array}{l}\require{cancel} 3(2)\ge 0 \\\\ 6\ge 0 \text{ (TRUE)} .\end{array} Since the solution above ended with a $\text{ TRUE }$ statement, then the test point is $\text{ part }$ of the solution set.