Given below are two statements:
$p: 25 \text{ is a multiple of } 5.$
$q: 25 \text{ is a multiple of } 8.$
Write the compound statements connecting these two statements with "And" and "Or". In both cases,check the validity of the compound statement.
$p: 25 \text{ is a multiple of } 5.$
$q: 25 \text{ is a multiple of } 8.$
Write the compound statements connecting these two statements with "And" and "Or". In both cases,check the validity of the compound statement.
(N/A) The compound statement with 'And' is: "$25$ is a multiple of $5$ and $8$."
This is a false statement,since $25$ is not a multiple of $8$.
The compound statement with 'Or' is: "$25$ is a multiple of $5$ or $8$."
This is a true statement,since $25$ is a multiple of $5$ (even though it is not a multiple of $8$,the 'Or' condition is satisfied if at least one statement is true).
This is a false statement,since $25$ is not a multiple of $8$.
The compound statement with 'Or' is: "$25$ is a multiple of $5$ or $8$."
This is a true statement,since $25$ is a multiple of $5$ (even though it is not a multiple of $8$,the 'Or' condition is satisfied if at least one statement is true).
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