Answer:
a) 0≤x≤100 ; 0≤y≤300
Step-by-step explanation:
Here we are given that
x is the number of out state students
y is the number of in state students
Also , the number of in state students are 3 times that of out state students. Hence
y=3x
Now . we are given with the condition that the maximum space for the out state students is 100.
Hence
x≤100
or
0≤x≤100
Multiplying all three sides with 3 we get

0≤3x≤300
0≤y≤300
Hence we have our required constraint for the in state and the out state students.