CBSE · Class 11 · Mathematics · Linear InequalitiesThe solution of the inequality 5x - 3 >= 3x - 5 in interval notation is:
Step-by-Step Solution
Solving 5x - 3 >= 3x - 5: subtract 3x from both sides to get 2x - 3 >= -5, then add 3 to get 2x >= -2, which gives x >= -1. In interval notation, this is represented as [-1, infinity).
Detailed Options Breakdown
Option : (-infinity, -1]
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 1: (-1, infinity)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 2: [-1, infinity) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: (-\infty, \infty)
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.