NCERT · Class 11 · Mathematics · SetsIf $A = \{1, 2, 3, 4\}$ and $B = \{3, 4, 5, 6\}$, find $A \cup B$.
Step-by-Step Solution
The union of two sets $A$ and $B$ is the set of all elements which are in $A$ or in $B$ or in both. Combining the elements of $A$ and $B$ without repetition gives $A \cup B = {1, 2, 3, 4, 5, 6}$.
Detailed Options Breakdown
Option : \{3, 4\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 1: \{1, 2, 3, 4, 5, 6\} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \{1, 2\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 3: \{5, 6\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
💡 Study Guide: This question tests core syllabus concepts from Sets. For formulas, key summaries, and mock exam reference guides, read the full Sets Revision Notes.