Question

Give a counterexample to show that integers are not commutative under subtraction using: a. 23 and -18 b. 38 and 54​

Answer 1

To show that integers are not commutative under subtraction using the integers written below :

a. 23 & -18

→

LHS -

23 - (-18)

=> 23 + 18

=> 43

[Now, commutate the terms]

RHS -

- 18 - 23

=> -43

So,

LHS ≠ RHS

Hence, integers are not commutative under subtraction.

b. 38 & 54

LHS -

38 - 54

=> -16

[Now, commutate the terms]

RHS -

54 - 38

=> 16

so,

LHS ≠ RHS

hence, integers are not commutative under subtraction.

Note :-

• (-)(-) = (+)
• (+)(-) = (-)
• (-)(+) = (-)
• (+)(+) = (+)

hope it helps.

#BeBrainly :-)