SOLUTION: you need at least 3 hours to do your English and history homework. It is 12:00 p.m. on Sunday and your friend wants you to go to the movies at 7:00 p.m. Write inequalities that sho

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: you need at least 3 hours to do your English and history homework. It is 12:00 p.m. on Sunday and your friend wants you to go to the movies at 7:00 p.m. Write inequalities that sho      Log On


   



Question 695730: you need at least 3 hours to do your English and history homework. It is 12:00 p.m. on Sunday and your friend wants you to go to the movies at 7:00 p.m. Write inequalities that shows the number of hours you could spend doing homework for each subject if you go to the movies. graph your result.
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let +e+ = time in hrs spent
on English homework
Let +h+ = time in hrs spent
on history homework
12 pm to 7 pm is +7+ hrs
----------------
+3+%3C+e+%2B+h+%3C+7+
-----------------
I can say
+3+%3C+e+%2B+h+
+-h+%2B+3+%3C+e+
+e+%3E+-h+%2B+3+
and
+e+%2B+h+%3C+7+
+e+%3C+-h+%2B+7+
--------------
If I plot +e+ on the vertical axis
and +h+ on the horizontal axis,
The solutions are between the 2 lines,
but negative values of e and h
are not allowed
+graph%28+400%2C+400%2C+-2%2C+10%2C+-2%2C+10%2C+-x+%2B+3%2C+-x+%2B+7+%29+

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
let’s English be x and History y
we know for sure that x%3E=0 and y%3E=0
we also know that x%2By%3E=3.........1
we also know that x%2By%3C=7............2
or 3%3C=x%2By%3C=7

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B3%2C-x%2B7%29+
so, you need to shade the part between lines in I quadrant (from x=3 to x=7, and from y=3 to y=7)