NCERT · Class 11 · Mathematics · Linear InequalitiesIf |x|
Step-by-Step Solution
The inequality |x| < a (where a > 0) is equivalent to -a < x < a. Therefore, |x| < 5 implies -5 < x < 5, which in interval notation is written as (-5, 5).
Detailed Options Breakdown
Option : [-5, 5]
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 1: (-5, 5) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: (5, infinity)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 3: (-infinity, -5) U (5, infinity)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
💡 Study Guide: This question tests core syllabus concepts from Linear Inequalities. For formulas, key summaries, and mock exam reference guides, read the full Linear Inequalities Revision Notes.