Answer:
The solution in the attached figure
see the explanation
Step-by-step explanation:
we have
[tex]y < -\frac{1}{2}x+2[/tex]
The solution of the inequality is the shaded area below the dashed line
[tex]y=-\frac{1}{2}x+2[/tex]
The slope of the dashed line is negative [tex]m=-\frac{1}{2}[/tex]
The y-intercept of the dashed line is the point (0,2)
The x-intercept of the dashed line is the point (4,0)
using a graphing tool
The solution in the attached figure
Remember that
Any point that lie on the shaded area is a solution of the inequality and if a point is a solution of the linear inequality, then the point must satisfy the inequality
