Question

score: 10.78/13 answered: 11/13
question 12
use the following venn diagram to find ( a cap b^c ).
venn diagram: universal set (rectangle) with two circles a (purple, elements: a, b, c, d, e) and b (green, elements: d, e, f, g, h, i); universal set outside both circles: j, k, l, m
options:
{a,b,c}
{b,e,g}
{a,q,z}
{j,m,v}
{b,m,t}
∅
question help: message instructor post to forum

Explanation:

Step1: Understand \( B^c \)

\( B^c \) (complement of \( B \)) includes elements not in \( B \). From the Venn diagram, elements not in \( B \) are \( a, b, c \) (and the ones outside both, but we focus on intersection with \( A \)).

Step2: Find \( A \cap B^c \)

\( A \) has elements \( a, b, c, d, e \). Intersect with \( B^c \) (elements not in \( B \)): \( A \cap B^c = \{a, b, c\} \), as these are in \( A \) and not in \( B \).

Answer:

\(\{a, b, c\}\)