Question

use the following venn diagram to find ( b setminus a ).
venn diagram: two circles a (purple) and b (green) in a rectangle. a (purple) has a, b, c (only a) and d, e (intersection with b). b (green) has f, g, h, i (only b) and d, e (intersection with a). outside both circles: j, k, l, m.
options:

• ( {f, g, h, i} )
• ( {r, v, x} )
• ( {j, p, t} )
• ( {r, w, z} )
• ( {b, i, x} )
• ( emptyset )

Explanation:

Step1: Recall set difference definition

The set difference \( B \setminus A \) consists of elements in \( B \) but not in \( A \).

Step2: Identify elements in B and not in A

From the Venn diagram, set \( B \) (green circle) has elements \( d, e, f, g, h, i \), and the intersection with \( A \) (purple circle) has \( d, e \). So elements in \( B \) but not in \( A \) are \( f, g, h, i \).

Answer:

\(\{f, g, h, i\}\)