Question

each venn diagram has sets a, b, and the universal set u. (a) shade ( a cap b ). (b) shade ( a cup b ).

Explanation:

Step1: Define intersection ($A \cap B$)

$A \cap B$ is the overlapping region of sets $A$ and $B$.

Step2: Define union ($A \cup B$)

$A \cup B$ is all regions of sets $A$ and $B$.

Answer:

(a) Shade the overlapping middle region of the two circles (the area that is inside both circle $A$ and circle $B$).
(b) Shade the entire area of circle $A$, the entire area of circle $B$, including their overlapping region (all parts that are in $A$, in $B$, or both).