Question

use the venn diagram to list the set \\((a \cap b)\\) in roster form.

choose the correct answer below.

a. \\((a \cap b) = \\{a,c,d,f,g,n,q,r,t,v,w,y\\}

b. \\((a \cap b) = \\{d,f,g,n,q,r,v,y\\}

c. \\((a \cap b) = \\{n,q,y\\}

d. \\((a \cap b) = \\{d,f,g,r,v\\}

Explanation:

Identify elements in the universal set and intersection

$$
LATEXBLOCK0
$$

Determine the complement of the intersection

$$
LATEXBLOCK1
$$

Match with the given options

$$ \text{Option A matches } \{a, c, d, f, g, n, q, r, t, v, w, y\} $$

Answer:

• A. \((A \cap B)' = \{a,c,d,f,g,n,q,r,t,v,w,y\}\) (Correct answer)
• B. \((A \cap B)' = \{d,f,g,n,q,r,v,y\}\)
• C. \((A \cap B)' = \{n,q,y\}\)
• D. \((A \cap B)' = \{d,f,g,r,v\}\)