Question

verify that (x-y) -1 # x-1 - y-1 by taking x = -2/7 , y = 4/7 ( hint : proceed as in example 16

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Answer 1

Answer:

Given,

x = -2/7

y = 4/7

To prove :

(x - y) - 1 ≠ x - 1 - y - 1

Proof :

Lets first consider LHS.

Then, LHS :

(x - y) - 1 =

= (-2/7 - 4/7) - 1

= -6/7 - 1

= -6/7 - 7/7

= - 13/7 = LHS

Now lets take RHS :

x - 1 - y - 1

= -2/7 - 4/7 - 2

= -6/7 - 2

= -6/7 - 14/7

= -20/7 = RHS

Clearly LHS ≠ RHS.

Then,

(x - y) - 1 ≠ x - 1 - y - 1

Hence, proved.

Answer 2

Step-by-step explanation:

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