# is integers associative under subtraction? explain with suitable examples.

No integers are not associative under subtraction.

Ex-a-(b-c)is not equal to (a-b)-c

Let a=2,b=3 and c=4

L.H.S=2-(3-4)

=2-(-1)

=2+1

=3

R.H.S=(2-3)-4

=-1-4

=-5

Therefore L.H.S is not equal to R.H.S.

Therefore a-(b-c) is not equal to (a-b)-c,that implies that integers are not closed under subtraction.

**
**