Answer
See below
Work Step by Step
For the hotel's wireless, we are given: $h=100\\k=60\\r=150$
Plug in values:
$$(x-h)^2+(y-k)^2=r^2\\(x-100)^2+(y+60)^2=22500$$
To be in the range of internet access the following inequality has to be true:
$$(x-h)^2+(y-k)^2=r^2\\(x-100)^2+(y+60)^2\leq22500$$
For the cafe's wireless, we are given: $h=80\\k=70\\r=100$
Plug in values:
$$(x-h)^2+(y-k)^2=r^2\\(x+80)^2+(y+70)^2=10000$$
To be in the range of internet access the inequality has to be true:
$$(x+80)^2+(y+70)^2\leq10000$$
