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State whether the following statements a...

State whether the following statements are negation to each other ?
(i) p: ram is a good boy.
q : ram is not a good boy.
(ii) p: `sqrt(5)` is a rational number.
q : `sqrt(5)` is an irational number.
(iii) p: australia is a continent.
q: australia is not a continent.
(iv) p: a multiple of 2 is 16.
q : a multiple of 2 is 12.

Text Solution

AI Generated Solution

To determine whether the given statements are negations of each other, we need to analyze each pair of statements (p and q) and see if one is the logical negation of the other. ### Step-by-Step Solution: 1. **Statement Pair (i)**: - p: "Ram is a good boy." - q: "Ram is not a good boy." - **Negation Check**: The statement q directly negates p. Therefore, they are negations of each other. ...
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