based on the venn diagram, which of the following statements is correct?\nonly sets a, b, and c are subsets…

based on the venn diagram, which of the following statements is correct?\nonly sets a, b, and c are subsets of the universal set, u.\nthe intersection of sets a and c is set b.\nset d is a subset of set a.\nthe union of sets b and c is the overlapping shaded region in the middle of the two sets.

based on the venn diagram, which of the following statements is correct?\nonly sets a, b, and c are subsets of the universal set, u.\nthe intersection of sets a and c is set b.\nset d is a subset of set a.\nthe union of sets b and c is the overlapping shaded region in the middle of the two sets.

Answer

Explanation:

Step 1: Analyze subset relationship

Set D is entirely within set A in the Venn diagram, so D is a subset of A.

Step 2: Evaluate other options

  • First option is incorrect because set D, being within A, is also a subset of U.
  • Second option is incorrect as the intersection of A and C would require a direct overlap, which isn't shown; B intersects both A and C but isn't their direct intersection.
  • Fourth option misdefines union (all shaded areas of B and C) as the intersection (middle overlap), which is incorrect.

Answer:

Set D is a subset of set A.