Answer:
A. A
Step-by-step explanation:
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded region below the line
>, ≥ - shaded region above the line
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[tex]y\leq-2x+10[/tex]
Draw the solid line [tex]y=-2x+10[/tex].
Shade region below the line.
for x = 5
[tex]y=-2(5)+10=-10+10=0\to(5,\ 0)[/tex]
for x = 0
[tex]y=-2(0)+10=0+10=10\to(0,\ 10)[/tex]
[tex]y>\dfrac{1}{2}x-2[/tex]
Draw the dotted line [tex]y=\dfrac{1}{2}x-2[/tex]
Shade region above the line.
for x = 0
[tex]y=\dfrac{1}{2}(0)-2=0-2=-2\to(0,\ -2)[/tex]
for x = 4
[tex]y=\dfrac{1}{2}(4)-2=2-2=0\to(4,\ 0)[/tex]
Look at the picture
The solutions: A, C, D, K
