Write two integers such that one is smaller than –11, and other is greater than –11 but their difference is –11.

Integers greater than -11 are: -10, -9, -8, -7, …

Integers smaller than -11 are: -12, -13, -14, -15, -16, …

To find the solution, find the easiest combination of positive integers which when subtracted gives 11.

The easiest pair which comes to our minds are 21 and 10.

∵ 21 – 10 = 11

So, just subtract the negative form of these integers again, as these satisfies the question (-21 < -11 & -10 > -11)

⇒ Difference = -21 – (-10)

⇒ Difference = -21 + 10 [Since, minus & minus = plus]

⇒ Difference = -11 [Since, 21 is the greatest integer amongst 21 and 10, then – sign will appear in the resulting answer]

Thus, -21 and -10 are such integers.