Question

question 1 (1 point)
set a is a subset of set b, means that...
o a both sets must be exactly the same.
o b every element in set a is also an element in set b.
o c no elements are located in both set a and set b
o d every element in set b is also an element in set a.

Explanation:

By the definition of a subset, if \(A\subseteq B\), then for every \(x\in A\), it must be that \(x\in B\).

• Option a: If both sets are exactly the same, then \(A = B\). But a subset relationship \(A\subseteq B\) does not require \(B\subseteq A\) (for \(A = B\)).
• Option c: If no elements are in both \(A\) and \(B\), then \(A\cap B=\varnothing\), which is not related to the subset - definition.
• Option d: If every element in \(B\) is in \(A\), then \(B\subseteq A\), which is the opposite of \(A\subseteq B\) in general.

Answer:

B. Every element in Set A is also an element in Set B.