Q18. Compare the quantity in Column A... [FREE SOLUTION]

Chapter 2: Q18. (page 107)

Compare the quantity in Column A and the quantity in Column B. Then determine whether:
A. the quantity in Column A is greater,
B. the quantity in Column B is greater,
C. the two quantities are equal, or
D. the relationship cannot be determined from the information given.
m is an integer greater than 3.
Column A
Column B
$\frac{1}{4}$
$\frac{1}{m} - \frac{1}{4}$

Expert verified

The quantity in column A is greater. Option A is correct.

The set of integers are the positive and negative whole numbers including 0 and is expressed as $鈥�, - 2, - 1, 0, 1, 2, 鈥�$ .

Consider the provided expression, m is an integer greater than 3.

The integer m can take values 4, 5 and so on.

Let the value of m be 4.

Substitute the value of m in the expression in column B $\frac{1}{m} - \frac{1}{4}$ .

$\frac{1}{4} - \frac{1}{4} = 0$

Take one more value of m say 5.

Substitute the value of m in the expression in column B.

\begin{matrix} \frac{1}{5} 鈭� \frac{1}{4} = \frac{4}{20} 鈭� \frac{5}{20} \\ = 鈭� \frac{1}{20} \end{matrix}

The value of column A is $\frac{1}{4} = 0.25$ .

For any integer value of m greater than 3, the value of $\frac{1}{m} - \frac{1}{4}$ is less than or equal to 0.

The values obtained in column B are less than 0.25.

Hence, the quantity in column A is greater.

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