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

(i)  We have  x = $\frac{11}{15}$

The additive inverse of x = $\frac{11}{15}$  is -x = $\frac{-11}{15}$

The same equality  $\frac{11}{15}+\left ( \frac{-11}{15} \right ) = 0$

which  implies  $-\left ( \frac{-11}{15} \right ) = \frac{11}{15}$      shows that  -(-x) = x

(ii) Additive inverse of x = $\frac{-13}{17}$ is -x = $\frac{13}{17}$                        (since $\frac{-13}{17}+\frac{13}{17} = 0$)

The same quality shows that the additive inverse of $\frac{13}{17}$ is $\frac{-13}{17}$

i.e., -(-x) = x

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