Answer:
B. {(4,6), (8,8), (–3,6)}
Step-by-step explanation:
The given inequality is
[tex]y\ge\frac{1}{4}x+5[/tex]
The set of points that satisfy the inequality are solutions.
We can verify that,all the points in the set {(4,6), (8,8), (–3,6)} satisfy the given inequality.
[tex]6\ge\frac{1}{4}(4)+5[/tex] ;[tex]\implies 6\ge6[/tex]: True
[tex]8\ge\frac{1}{4}(8)+5[/tex] ;[tex]\implies 8\ge7[/tex]: True
[tex]6\ge\frac{1}{4}(-3)+5[/tex] ;[tex]\implies 6\ge4.25[/tex]: True
Therefore, the correct answer is B.
