For this case we have:
Let:
x: number of points scored by Duncan
y: number of points scored by Eddie
We have:
[tex]y\geq27 +\frac{x}{2}[/tex] (1)
[tex]y = 58[/tex] (2)
Substituting (2) in (1):
[tex]58\geq27+\frac{x}{2}[/tex]
[tex]58-27\geq\frac{x}{2}[/tex]
[tex]31\geq\frac{x}{2}[/tex]
[tex]2*31\geqx\\62\geq x[/tex]
Thus, Duncan could have scored a maximum of 62 points.
Answer:
[tex]x\leq62[/tex] points scored by Duncan.