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Write down the negation of following compound statements All real numbers are rationals or irrationals.

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प्रश्न

Write down the negation of following compound statements

All real numbers are rationals or irrationals.

योग
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उत्तर

p: All real numbers are rationals.

q: All real numbers are irrationals.

The negation of the above statements is

~ (p ∨ q) = (~ p ∧ ~ q): All the real numbers are not rational and all real numbers are not irrational.

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अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 6.(ii) | पृष्ठ २६३

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