Negation is “2 + 3 = 5 and 8 < 10” is

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Gujarati

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Mathematical Reasoning

easy

Negation is $“2 + 3 = 5$ and $8 < 10”$ is

A

$2 + 3 \neq 5$ and $< 10$

B

$2 + 3 = 5$ and $8 \nless10$

C

$2 + 3 \neq 5$ or $8 \nless10$

D

None of these

Solution

(c) Let $p : 2+ 3 = 5,\ q : 8 < 10$

Given proposition is : $p\ \wedge q$

Its negation is $\sim(p\ \wedge q) = \sim p\ \vee \sim q$

we have $2+ 3 \neq 5\ or\ 8\ \nless 10.$

Standard 11

Mathematics

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