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Compare both the sides of the expression:

(– 25) – (– 42) ____ (– 42) – (– 25)

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Detailed Solution

(– 25) – (– 42) > (– 42) – (– 25)
Now solve terms before and after the blank simultaneously.
Since, - & - combines to become +, thus,

− 25 + 42______-42 + 25

Change of order doesn’t affect addition, so change the order of term before the blank and taking - common from the term after the blank, we have,

42 − 25______-(42 - 25)

17______-17

Since, we know positive integers are greater than negative integers, hence,

17 > − 17

− 25 + 42 > − 42 − - 25

Hence, ‘>’ is the correct answer here.

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