Assignment:
Let Y be a subspace of X and let A be a subset of Y. Denote by Intx(A) the interior of A in the topological space X and by Inty(A) the interior of A in the topological space Y. Prove that Intx(A) ⊂ Inty(A). Illustrate by an example the fact that in general Intx(A) ≠ Inty(A).
Provide complete and step by step solution for the question and show calculations and use formulas.