Question

2x+y< 1

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$2x+y < 1$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $2x+y=1$

The slope of the dashed line is negative m=-2

The y-intercept of the dashed line is the point (0,1)

The x-intercept of the dashed line is (0.5,0)

$y\geq \frac{1}{2}x+2$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y= \frac{1}{2}x+2$

The slope of the solid line is positive m=1/2

The y-intercept of the solid line is the point (0,2)

The x-intercept of the solid line is (-4,0)

using a graphing tool

The solution of the system of inequalities is the shaded area below the dashed line A and above the solid line B

The graph in the attached figure