Question

Observe the Venn diagram given below and choose the correct statements.

• A. Sets A and B are disjoint sets.
• B. Sets B and C are disjoint sets.
• C. Sets C and A are disjoint sets.
• D. A - C = {1, 2, 3, 4, 5}

Answer 1

Answer: (A), (B), (D)

The correct options are
A Sets A and B are disjoint sets.
B Sets B and C are disjoint sets.
D A - C = {1, 2, 3, 4, 5}


From the Venn diagram:
A = {1, 2, 3, 4, 5, 6}
B = {7, 9, 11, 13, 15}
C = {6, 8, 10, 12, 14}
$A\cap B$ = {}
$\therefore$ A and B are disjoint sets.
$B\cap C$ = { }
$\therefore$ B and C are disjoint sets.
$A\cap C$ = {6}
$\therefore$ A and C are not disjoint sets.
The difference of sets A and C,
A - C = {1, 2, 3, 4, 5, 6} - {6, 8, 10, 12, 14} = {1, 2, 3, 4, 5}
$\therefore$ A - C = {1, 2, 3, 4, 5}