If A(I,2,3,...,10) ; B = (-5,-4,.....,-1) ; C = (-1, 0, 1, 2,....5) List all the elements in (B ∪ C) ∩ A

Analyze the question: We need (B ∪ C) ∩ A, where

• A = {1, 2, 3, ..., 10}
• B = {-5, -4, -3, -2, -1}
• C = {-1, 0, 1, 2, 3, 4, 5}

Concept:

• Union (∪) collects all elements that are in either set.
• Intersection (∩) keeps only the elements that are common to both sets.
• Work out the bracket first.

Step 1: B ∪ C Combine the elements and write -1 only once: B ∪ C = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

Step 2: Intersect with A Keep only the elements that are also in A = {1, 2, ..., 10}. The negative numbers and 0 are not in A, so they are removed. The elements 1, 2, 3, 4, 5 are in both sets.

(B ∪ C) ∩ A = {1, 2, 3, 4, 5}

Answer: This matches option C, {1, 2, ...

Tip: In a question like this, find the union first, then ask, "Which of these elements are also in the last set?" Also check whether 0 belongs to the set. Here A starts at 1, so 0 is excluded.