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03/08/2021 12:21 pm
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Verify that: -(-x) = x for.
(i) x = 11/15
(ii) x = -13/17
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03/08/2021 12:22 pm
(i) x = 11/15
We have, x = 11/15
The additive inverse of x is – x (as x + (-x) = 0)
Then, the additive inverse of 11/15 is – 11/15 (as 11/15 + (-11/15) = 0)
The same equality 11/15 + (-11/15) = 0, shows that the additive inverse of -11/15 is 11/15.
– (-11/15) = 11/15
i.e., -(-x) = x
(ii) -13/17
We have, x = -13/17
The additive inverse of x is – x (as x + (-x) = 0)
Then, the additive inverse of -13/17 is 13/17 (as 13/17 + (-13/17) = 0)
The same equality (-13/17 + 13/17) = 0,
shows that the additive inverse of 13/17 is -13/17.
– (13/17) = -13/17,
i.e., -(-x) = x