Math, microeconomics. "All I want to know is what is x, y"

Question

Sketch the region that corresponds to the given inequalities. HINT Note that the Solution Set for this problem is the white, unshaded region. This may differ from examples shown in class or in videos where the Solution Set is represented by the shaded region.

4x + 5y ≤ 8

4x− 5y≥ 8

−y≥ 2

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All I want to know is what is x, y

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Find the coordinates of all corner points (if any). (If an answer does not exist, enter DNE.)

(x, y)= ...........  (smaller x-value)

(x, y)= ............... (larger x-value)

Answer 1

4x-5y =/> 8

4x+5y =/< 8

-y=/>2

y=/< -2

(-1/2, -2), (9/2, -2) = corner points

but (2,0) not feasible