Question

Graph 2x+y<1Y>1/2x+2

Answer 1

We need to graph the next given inequalities:

`\begin{gathered} 2x+y<1 \\ \text{and} \\ y>1/2x+2 \end{gathered}`

For 2x+y<1.

We need to find the x-intercept and y-intercept

To find the y-intercept, set x=0

`\begin{gathered} 2(0)+y<1 \\ \text{Then} \\ y<1 \\ \text{The y-intercept is the point (0,1)} \end{gathered}`

To find the x-intercept, set y=0

`\begin{gathered} 2x+0<1 \\ \text{solve for x} \\ x<(1)/(2) \end{gathered}`

The symbol "<" means less than, so we get the next graph:

For the second inequality y>1/2x+2

To find the y-intercept, set x=0