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    Is {(x,y)∈R^2 | 2x+y≤2, x-y>4} an Open Subset of R^2?

    1. {(x,y)\in R^2 such that 2x+y<=2, x-y>4} Determine whether this subset of R^2 is open, closed or neither open nor closed. 2. I think this is an open subset but not sure how to prove it. I have rearranged the equations to give x>2, y<=-2x+1, y< x-1. I think it is open because x can get...
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