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

Asked by Sakshi | 1 year ago |  240

1 Answer

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

1 year ago

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