CBSE · Class 11 · Mathematics · Linear InequalitiesThe solution of the linear inequality 2(x - 1)
Step-by-Step Solution
Expanding 2(x - 1) < x + 5 gives 2x - 2 < x + 5. Subtracting x from both sides gives x - 2 < 5. Adding 2 to both sides gives x < 7.
Detailed Options Breakdown
Option : x < 7 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: x > 7
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 2: x <= 7
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 3: x >= 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.