Question

On a peice of paper, graph y < x - 3. Then determine which answer choice matches the graph you drew

Answer 1

To graph this, we start by graphing the line y=x-3 and the region that is below that line is the one corresponding to yIt is a dotted line, as the points in the line are not included in the region because the strict < sign.

You can verify by picking a point of the region, for example (0,-4):

`\begin{gathered} y=-4,x=0 \\ -4<0-3 \\ -4<-3\longrightarrow\text{TRUE} \end{gathered}`

Now, we know that we marked the right region.

We can also apply the following rule: if the sign is y < f(x) (or <=), the region is below the line. If the sign is y > f(x) (or >=), the region is above the line.