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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