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MP Board · Class 11 · Mathematics · Linear InequalitiesWhich of the following is a linear inequality in one variable?

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Step-by-Step Solution

A linear inequality in one variable is an inequality that involves a linear expression in one variable and uses inequality symbols like <, >, <=, or >=. Among the choices, 2x + 3 < 5 has only one variable 'x' and highest power 1, making it a linear inequality in one variable. The others either have two variables or are quadratic.

Detailed Options Breakdown
Option : 2x + 3 < 5 (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 1: 2x + 3y < 5

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.

Option 2: x^2 + 3 < 5

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.

Option 3: xy + 3 < 5

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.
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