NCERT · Class 11 · Mathematics · Linear InequalitiesIf -3x > 9, then:
Step-by-Step Solution
When both sides of an inequality are divided or multiplied by a negative number, the sign of inequality is reversed. Dividing -3x > 9 by -3 gives x < 9/(-3), which means x < -3.
Detailed Options Breakdown
Option : x > -3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 1: x < -3 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: x > 3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 3: 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.