NCERT · Class 11 · Mathematics · SetsIf $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ is the universal set and $A = \{2, 4, 6, 8\}$, find $A'$.
Step-by-Step Solution
The complement of a set $A$, denoted by $A'$, is the set of all elements of the universal set $U$ that are not in $A$. Therefore, $A' = U - A = {1, 3, 5, 7, 9}$.
Detailed Options Breakdown
Option : \{2, 4, 6, 8\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 1: \{1, 3, 5, 7, 9\} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \{1, 2, 3, 4, 5, 6, 7, 8, 9\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 3: \{\}
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.