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Verify that −(−x) = x for.
(i) 
(ii) 
Asked by Kumarnaik Last Modified
Answer 
(i)x=
+ -
=0
additive inverse of x=-.
that is -x=-
from + -
=0, we can find that additive inverse of -
is
that is -(-) =
that is -(-x)=x
(ii)
x= -
+ -
=0
additive inverse of x=
that is -x=
from + -
=0, we can find that additive inverse of
is -
that is -() = -
that is -(-x)=x
read less(i)
The additive inverse of is 
as 
This equality represents that the additive inverse of 
is 
or it can be said that 
i.e., −(−x) = x
(ii)
The additive inverse of is 
as 
This equality represents that the additive inverse of 
is − i.e., −(−x) = x
Let the additive inverse of rational number x is -x, Then x + ( -x ) = 0.
(i) additive inverse of x = - x = - 11/15
∴ 11/15 + (-11/15) = 0
And additive inverse of -x = - (-x ) = - ( -11/15)
= 11/15
∴ - 11/15 + 11/15 = 0
Thus, - ( -x ) = x
(ii) additive inverse of x = (-x ) = - ( -13/17)
= 13/17
∴ -13/17 + 13/17 = 0
And additive inverse of -x = - ( -x ) = - ( 13/17)
= -13/17
∴ 13/17 + ( -13/17) = 0
Thus, - ( - x ) = x
read lessView 2 more Answers
Related Questions
Find the multiplicative inverse of the following.
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) −1
? Why or why not? Fill in the blanks.
(i) Zero has __________ reciprocal.
(ii) The numbers __________ and __________ are their own reciprocals
(iii) The reciprocal of − 5 is __________.
(iv) Reciprocal of
, where 
is __________.
(v) The product of two rational numbers is always a __________.
(vi) The reciprocal of a positive rational number is __________.
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