Given 2<a<3, 5<b<6 Find:a-b

Answer 1

2<a<3
5<b<6

2-5 < a-b < 3-6
-3 < a-b < -3 , by the "sandwich concept"

a-b = -3

Answer 2

the largest a-b will be when the smallest b is subtracted from the largest a.
and the reverse for the smallest a-b. So,

2-6 < a-b < 3-5
-4 < a-b < -2