Sketch the region that corresponds to the given inequalities, say whether the region is bounded or unbounded, and find the coordinates of all corner points (if any). x + y >= 5 (1) x <= 10 (2) y <= 5 (3) x,y >= 0 (4)

boitshupoO

boitshupoO

Answered question

2020-12-07

Sketch the region that corresponds to the given inequalities, say whether the region is bounded or unbounded, and find the coordinates of all corner points (if any).
x+y5(1)
x10(2)
y5(3)
x,y0(4)

Answer & Explanation

avortarF

avortarF

Skilled2020-12-08Added 113 answers

Now we will solve the inequalities as,
Put x=0 in eqution (1) then, 0+y5
rArr y5 (5)
Again, Put y=0 in equation (1) then, x+05
rArr x5 (6)
Then, from equation (2), (6) we get,
5x10 (7)
And from equation (1), (5) we get,
5y8 (8)
Now, draw the graph

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