Problem on two variable polynomial inequalities (Probably a diophantine inequality !!)

Question

Consider the sets defined by the real solutions of the inequalities :

A = { ( x , y ) : x² + y⁴ ≤ 1} B = { ( x , y ) : x⁴ + y⁶ ≤ 1}

Then , Which option follows/can be inferred as true?

(A) B⊆A

(B) A⊆B

(C) Each of the sets (A - B) , (B - A) and (A \ B) is non-empty

(D) none of the above.

Answer 1

(A) is false. Every element of B is NOT in A.

Every element of A is also in B. A is a subset of B, so at least B is correct.

(C) is completely false, as A- B is completely empty

statement B is the only true statement