Find the component statements of the following and check whether they are true or not.
$24$ is a multiple of $2, 4$ and $8$.
$24$ is a multiple of $2, 4$ and $8$.
(N/A) The component statements are:
$p: 24$ is a multiple of $2$.
$q: 24$ is a multiple of $4$.
$r: 24$ is a multiple of $8$.
All three statements are true. Here,the connecting word is 'and'. Thus,we observe that compound statements are made up of two or more statements connected by words like 'and','or',etc. These words have special meanings in mathematics.
$p: 24$ is a multiple of $2$.
$q: 24$ is a multiple of $4$.
$r: 24$ is a multiple of $8$.
All three statements are true. Here,the connecting word is 'and'. Thus,we observe that compound statements are made up of two or more statements connected by words like 'and','or',etc. These words have special meanings in mathematics.
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