Question

The suitable statement(s) (in words) for ($15a\times b)-6<5$ is/are:

• A. Product of $15a$ and $b$ decreased by $6$ is less than $5$.
• B. Product of $15a$ and $b$ subtracted from $6$ is less than $5$.
• C. $6$ subtracted from the product of $15a$ and $b$ is less than $5$.
• D. None of the above.

Answer 1

Answer: (A), (C)

The correct options are
A

Product of $15a$ and $b$ decreased by $6$ is less than $5$.

C

$6$ subtracted from the product of $15a$ and $b$ is less than $5$.

$15a\times b$ is read as ‘product of $15a$ and $b$’. Now, ($15a\times b)-6$ is read as ‘$6$ subtracted from the product of $15a$ and $b$’ or ‘product of $15a$ and $b$ decreased by $6$’. Hence ($15a\times b)-6<5$ is read as ‘$6$ subtracted from the product of $15a$ and $b$ is less than $5$’ or ‘product of $15a$ and $b$ decreased by $6$ is less than $5$’. Therefore options (a) and (c) are correct.

Product of $15a$ and $b$ subtracted from $6$ is written as ‘$6-(15a\times b)$’. So, ‘Product of $15a$ and $b$ subtracted from $6$ is less than $5$” will be written as ‘$6-(15a\times b)<5$’, which is different from the one given in the question. Hence option(b) is incorrect.