A store sells two brands of tvs.Customer demand indicates that it is necessary to stock at least twice as many sets of brand a as brand b. It is also necessary to have on hand ten sets of brand b. There can be no more than one hundred total TVS in stock. Find and graph a system of inequalities. I need to solve this for my homework and can't quite get it! Thank you!
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2 brands of tvs.
a, b
at least 2 times as many of a, than b. so
2b >= a
b will always be >= 10 , no more than 100, therfore a + b =< 100
assume a is your x axis, b is your wy axis.
there are your equations:
2b >= a
b>= 10
a +b =<100
graph each one as if it were an equation, then plug in some points into each one to see which side of the line makes te statement true, that's the side you shade.
The part shaded/contained by all of the equations is the "answer".