The negation of the statement " $2 + 3 = 5$ " and " $8 < 10$ " is

2 + 3 \neq 5

and

8 ≮ 10

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2 + 3

\neq 5 or

8 > 10

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2 + 3 \neq 5

8  10

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None of these

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Solution

The correct option is B $2 + 3 \neq 5$ and $8 ≮ 10$
Take $p : 2 + 3 = 5$ and $q : 8 < 10$

So the given conjunction is $p \land q$

Now $\sim p : 2 + 3 \neq 5$ and $\sim q : 8 ≮ 10$

Now Negation of the given conjunction $p \land q$ is $\sim (p \land q)$

$\sim (p \land q) : 2 + 3 \neq 5$ or $8 ≮ 10$

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2 + 3 = 5

8 < 10

2 + 3 = 5

8 < 10

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8 < 10

Negation of "2+3 =5 and 8 is less than 10 " is

Identify the greater number, wherever possible, in each of the following?

(i) 4³ or 3⁴ (ii) 5³ or 3⁵

(iii) 2⁸ or 8² (iv) 100²or 2¹⁰⁰

(v) 2¹⁰ or 10²

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