CBSE · Class 11 · Mathematics · Linear InequalitiesThe solution set of the inequality 3x - 5
Step-by-Step Solution
Solving 3x - 5 < 7 gives 3x < 12, which simplifies to x < 4. Since x is a natural number (N = {1, 2, 3, ...}), the values of x less than 4 belonging to natural numbers are 1, 2, and 3. Therefore, the solution set is {1, 2, 3}.
Detailed Options Breakdown
Option : {1, 2, 3, 4}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 1: {1, 2, 3} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: {0, 1, 2, 3}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 3: (-infinity, 4)
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.