point(s) possible $K$ Use De Morgan's laws to determine whether the two statements are equivalent. \[ \sim(\sim x \vee \sim y), x \wedge y \] Choose the correct answer below. The two statements are not equivalent. The two statements are equivalent.

Step 1 ：De Morgan's laws state that the negation of a disjunction is the conjunction of the negations, and the negation of a conjunction is the disjunction of the negations. In other words, not (A or B) is the same as (not A) and (not B), and not (A and B) is the same as (not A) or (not B).

Step 2 ：In this case, we have not (not x or not y), which according to De Morgan's laws, is equivalent to (x and y). Therefore, the two statements are equivalent.

Step 3 ：However, to confirm this, we can create a truth table for both expressions and compare the results. If the results are the same for all possible values of x and y, then the two statements are equivalent.

Step 4 ：The truth table confirms that the two expressions are equivalent for all possible combinations of x and y. Therefore, according to De Morgan's laws and the truth table, the two statements are equivalent.

Step 5 ：Final Answer: The two statements are \(\boxed{\text{equivalent}}\).