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Using contrapositive method prove that if n2 is an even integer, then n is also an even integers. - Mathematics

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प्रश्न

Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.

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उत्तर

Let p: n2 is an even integer.

q: n is also an even integer.

Also let ~ q is true i.e. n is not an even integer.

⇒ n2 is not an even integer   .....[∵ Square of an odd integer is odd]

⇒ ~ p is true.

Hence, ~ q is true ⇒ ~ p is true.

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अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 16 | पृष्ठ २६५

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