Decide whether the given statement is always true or not always true.
-If $\mathrm { B } \subseteq \mathrm { A }$, then $\mathrm { A } \cap \mathrm { B } = \mathrm { A }$
A) Always true
B) Not always true

Question

Quizplus · Accepted Answer

If $B \subseteq A$, then $A \cap B = B$, not necessarily $A$. This is because the intersection of $A$ and $B$ will include all elements that are in both $A$ and $B$, which, given $B \subseteq A$, are precisely the elements of $B$.

Decide Whether the Given Statement Is Always True or Not B⊆A\mathrm { B } \subseteq \mathrm { A }B⊆A

Decide Whether the Given Statement Is Always True or Not $\mathrm { B } \subseteq \mathrm { A }$