CBSE · Class 11 · Mathematics · Linear InequalitiesThe graph of the linear inequality x
Step-by-Step Solution
The inequality x <= 3 represents all points where the x-coordinate is less than or equal to 3. This is the region to the left of the line x = 3, including the line itself (drawn as a solid line).
Detailed Options Breakdown
Option : Half-plane to the right of x = 3 including the line
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 1: Half-plane to the left of x = 3 including the line (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: Half-plane to the right of x = 3 excluding the line
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 3: Only the line x = 3
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.