CBSE · Class 11 · Mathematics · SetsWrite the set $A = \{x : x \text{ is an integer and } -3
Step-by-Step Solution
The condition given is that $x$ is an integer strictly greater than $-3$ and strictly less than $7$. The integers satisfying this condition are $-2, -1, 0, 1, 2, 3, 4, 5, 6$. Therefore, the roster form is ${-2, -1, 0, 1, 2, 3, 4, 5, 6}$.
Detailed Options Breakdown
Option : \{-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 1: \{-2, -1, 0, 1, 2, 3, 4, 5, 6\} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \{-3, -2, -1, 0, 1, 2, 3, 4, 5, 6\}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sets.
Option 3: \{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7\}
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.