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

Asked by Sakshi | 2 years ago |  266

##### Solution :-

(i)  x = $$\frac{11}{15}$$

The additive inverse of x = $$\frac{11}{15}$$ is -x = -$$\frac{11}{15}$$ as $$\frac{11}{15}$$ + (-$$\frac{11}{15}$$) = 0

This equality $$\frac{11}{15}$$ + (-$$\frac{11}{15}$$) = 0 represents that the additive inverse of -$$\frac{11}{15}$$ is $$\frac{11}{15}$$ or it can be said that  (-$$\frac{11}{15}$$) = $$\frac{11}{15}$$ i.e ., -(-x) = x

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

The additive inverse of x = -$$\frac{13}{17}$$ is  -x = $$\frac{13}{17}$$ as -$$\frac{13}{17}$$ + $$\frac{13}{17}$$ = 0

This equality -$$\frac{13}{17}$$ +$$\frac{13}{17}$$ = 0 represents that the additive inverse of  $$\frac{13}{17}$$ is $$\frac{13}{17}$$ i.e, -(-x) = x

2 years ago

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