Sets, Relations & Functions
Mathematical Reasoning
Grade 11
Question:
<p>Which of the following is not a statement?</p>
<p>2 is an odd number</p>
<p>10 is less than 8</p>
<p>the number 13 is prime</p>
<p>please do me a favour</p>
Step-by-Step Solution
Key Concept: A statement in logic must be a declarative sentence that is either definitively true or definitively false—not a question, command, or ambiguous expression. Identify which option lacks this binary truth property.
<p><strong>Step 1:</strong> Recall that a statement is a declarative sentence with a definite truth value (either True or False).</p><p><strong>Step 2:</strong> Questions (interrogative sentences) cannot be true or false—they seek information.</p><p><strong>Step 3:</strong> Commands/imperatives cannot be assigned truth values—they instruct action.</p><p><strong>Step 4:</strong> Exclamations express emotion and lack definite truth values.</p><p><strong>Step 5:</strong> Only declarative sentences like 'Paris is the capital of France' or 'All prime numbers are odd' are statements.</p><p>∴ The option that is a question, command, or exclamation (not a declarative sentence) is NOT a statement. Answer: D</p>
Correct Answer: D