Consider the following two subsets of vector space V2(R)

S1 = {(x1, x2)} | x1 + x2 ≥ 0

S2  = {(x1, x2)} | x12 + x22 ≤ 1

1
S1 be a subspace of V2(R) but not S2
2
Sbe a subspace of V2(R) but not S1
3
Both S1 & Sbe a subspace of V2(R) 
4
Neither S1 nor S2 in a subspace of V2(R)

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