We need to graph the next given inequalities:
[tex]\begin{gathered} 2x+y<1 \\ \text{and} \\ y>1/2x+2 \end{gathered}[/tex]
For 2x+y<1.
We need to find the x-intercept and y-intercept
To find the y-intercept, set x=0
[tex]\begin{gathered} 2(0)+y<1 \\ \text{Then} \\ y<1 \\ \text{The y-intercept is the point (0,1)} \end{gathered}[/tex]
To find the x-intercept, set y=0
[tex]\begin{gathered} 2x+0<1 \\ \text{solve for x} \\ x<\frac{1}{2} \end{gathered}[/tex]
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
