Verify that $ -(-x)=x $ for.
(i) $ x=\frac{11}{15} $
(ii) $ x=-\frac{13}{17} $.

Given:

$-(-x)=x$.

To do:

We have to verify $-(-x)=x$ for $x=\frac{11}{15}$ and $x=\frac{-13}{17}$.

Solution:

i. $x=\frac{11}{15}$

$-( -x) =-(-\frac{11}{15})$

$=\frac{11}{15}$                [$( -) \times ( -) =( +)$]

$=x$

Hence verified.

ii. $x=\frac{-13}{17}$

This implies,

$ -x=-( -\frac{13}{17})$

$=\frac{13}{17}$                 [$( -) \times ( -) =( +)$]

$-( -x) =-(\frac{13}{17})$

$=-\frac{13}{17}$

$=x$

Hence verified.

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Updated on: 10-Oct-2022

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