Write the component statements of the following compound statement and check whether the compound statement is true or false.
$0$ is less than every positive integer and every negative integer.
$0$ is less than every positive integer and every negative integer.
(N/A) The component statements are:
$p: 0$ is less than every positive integer.
$q: 0$ is less than every negative integer.
Since $0$ is greater than every negative integer,the statement $q$ is false.
Since the compound statement is connected by 'and',it is true only if both component statements are true.
Therefore,the compound statement is false.
$p: 0$ is less than every positive integer.
$q: 0$ is less than every negative integer.
Since $0$ is greater than every negative integer,the statement $q$ is false.
Since the compound statement is connected by 'and',it is true only if both component statements are true.
Therefore,the compound statement is false.
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View SolutionLet,$p$: Ramesh listens to music.
$q$: Ramesh is out of his village.
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$s$: It is Saturday.
Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" can be expressed as:
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$r$: It is Sunday.
$s$: It is Saturday.
Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" can be expressed as:
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