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Q.

Choose the appropriate comparison symbol which fits the box as given in $− 9 7 □ 4 − 7$ .

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a

> (greater than)

b

< (less than)

c

= (equal)

d

None of these

answer is B.

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Detailed Solution

We need to find the relation between

- \frac{9}{7}

and

\frac{4}{- 7}

.
Comparison of rational numbers is possible only when the denominators of the two rational numbers being compared are the same.
So, to choose the appropriate comparison symbol for the box in

− 9 7 □ 4 − 7

, we will have to make the denominators of both the fractions same by shifting the negative sign from the denominator in the second fraction to its denominator.
Now, we can observe that the numerator of the second rational number, i.e., -4 is greater than the numerator of the first one, i.e., -9.
So, we conclude that

− 9 7 < − 4 7

or

− 9 7 < 4 − 7

.
Hence the correct option is (2).

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