If A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C), which law does this illustrate?
Answer and explanation
Correct answer: Distributive law
The expression shows that union with A distributes over the intersection of B and C. In general, the distributive identity is A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). The operation outside the parentheses, union, appears with A in both right-hand parentheses, which is the characteristic pattern of distribution. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
Distributive law
Why is this the correct answer?
The expression shows that union with A distributes over the intersection of B and C. In general, the distributive identity is A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). The operation outside the parentheses, union, appears with A in both right-hand parentheses, which is the characteristic pattern of distribution. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
