SOLUTION: Inequality word problem: You must work for at least 80 hours in this course to complete the requirements. Some of that will be testing time, and some will be for assignments. Y

Question 158101: Inequality word problem:
You must work for at least 80 hours in this course to complete the requirements. Some of that will be testing time, and some will be for assignments. You have 18 tests that take from 1/2 hour to 2 hours each to complete. You have 110 assignments that take between 1/2 hr and 1 hour to complete.
Write the five inequalities involved.
I'm not sure if my inequalities are correct. I think the answers are:
9<=x<=36
55<=y<=110
x+y>80
If they are correct how do i graph them?
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
You must work for at least 80 hours in this course to complete the requirements.
h>=80
Some of that will be testing time, and some will be for assignments.
h = 110a + 18t
You have 18 tests that take from 1/2 hour to 2 hours each to complete.
0.5 <= t <=2 OR written in two parts
t >= 0.5
t <=2
You have 110 assignments that take between 1/2 hr and 1 hour to complete.
0.5 <= a <= 1 Or written in two parts
a >= 0.5
a <=1
To graph, plot the equations as equalities and then 'shade' the area that is above (greater) or below (less than) as appropriate. In each of the 5 single inequalities above, the lines will be "vertical lines".

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