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QUESTION IMAGE

shade ( a cup b ) on the venn diagram.

Question

shade ( a cup b ) on the venn diagram.

Explanation:

Step1: Define complement of A

$A'$ is all elements in universal set $U$ not in $A$.

Step2: Define union with B

$A' \cup B$ includes all elements in $A'$ or in $B$ (or both). This means we shade:

  1. The entire region outside circle $A$ (including the part of $U$ not in either circle)
  2. The entire circle $B$ (including its overlap with $A$)

Visually, this leaves only the non-overlapping part of circle $A$ unshaded.

Answer:

Shade the following regions on the Venn diagram:

  1. The entire area inside the universal set box $U$ that is not inside circle $A$
  2. The entire circle $B$ (including its overlapping section with circle $A$)

(Only the portion of circle $A$ that does not overlap with $B$ remains unshaded.)