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

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

Answer

Explanation:

Step1: Recall subset definition

A subset is a set where all elements are in another set.

Step2: Analyze each option

  • Option 1: There could be other subsets of U not shown, so this is wrong.
  • Option 2: The intersection of A and C is not B from the diagram, wrong.
  • Option 3: Since D is completely inside A, D is a subset of A, correct.
  • Option 4: The union of B and C is all of B and C, not just the overlapping part, wrong.

Answer:

Set D is a subset of set A.