For each of the following compound statements,first identify the corresponding component statements. Then check whether the statements are true or not.
If $a$ and $b$ are integers,then $ab$ is a rational number.
If $a$ and $b$ are integers,then $ab$ is a rational number.
(N/A) The component statements are given by:
$p: a$ and $b$ are integers.
$q: ab$ is a rational number.
Since the product of two integers is always an integer,and every integer is a rational number,the compound statement is true.
$p: a$ and $b$ are integers.
$q: ab$ is a rational number.
Since the product of two integers is always an integer,and every integer is a rational number,the compound statement is true.
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