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Exercise 1.1 · Q11

Q.State whether the following sentence is a statement. Justify your answer. In case it is a statement, state its truth value: All real numbers are whole numbers.

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"All real numbers are whole numbers" is a declarative claim, hence a statement.

Whole numbers are 0,1,2,3,…0,1,2,3,\dots — a small subset of the real numbers. Real numbers also include negatives, fractions, and irrationals (e.g., −3-3, 12\tfrac12, 2\sqrt2), none of which are whole numbers. So the clai …

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