CBSE · Class 11 · Mathematics · Linear InequalitiesThe solution of the inequality |x - 2| >= 5 is:
Step-by-Step Solution
The inequality |x - 2| >= 5 splits into two inequalities: x - 2 >= 5 or x - 2 <= -5. Solving these gives x >= 7 or x <= -3. In interval notation, this is (-infinity, -3] U [7, infinity).
Detailed Options Breakdown
Option : [-3, 7]
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 1: (-3, 7)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 2: (-infinity, -3] U [7, infinity) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: [3, 7]
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.