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Are the Following Pairs of Statements Negations of Each Other? the Number X Is Not a Rational Number. the Number X Is Not an Irrational Number. - Mathematics

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प्रश्न

Are the following pairs of statements negations of each other?

The number is not a rational number.

The number x is not an irrational number.

उत्तर

The negation of the first statement is “the number x is a rational number”.

This is same as the second statement. This is because if a number is not an irrational number, then it is a rational number.

Therefore, the given statements are negations of each other.

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पाठ 14: Mathematical Reasoning - Exercise 14.2 [पृष्ठ ३२९]

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एनसीईआरटी Mathematics [English] Class 11
पाठ 14 Mathematical Reasoning
Exercise 14.2 | Q 2.1 | पृष्ठ ३२९

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