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.