Math, asked by parv200792, 2 months ago

verify that -(-x)=x for x=-18/13


Answers

Answered by babusurish366
0

Answer:

To see whether -(-x) = x; we need to put x=\frac{2}{15} \text { in }-(-x)=xx=

15

2

in −(−x)=x

According to rules of integer, when the signs are same, we get the same sign in the answer. When the signs are different, we get different sign as answer.

-\left(-\frac{2}{15}\right)=\frac{2}{15}−(−

15

2

)=

15

2

We know that, (-) \times(-)=(+)(−)×(−)=(+)

\Rightarrow \frac{2}{15}=\frac{2}{15}⇒

15

2

=

15

2

The answer is TRUE.

Now let us check for x=-\frac{13}{17}x=−

17

13

We put for x=-\frac{13}{17} \text { in }-(-x)=xx=−

17

13

in −(−x)=x

-(-x)=-\left(-\left(-\frac{13}{17}\right)\right)−(−x)=−(−(−

17

13

))

We know that, (-) \times(-)=(+)(−)×(−)=(+)

=-\left(+\frac{13}{17}\right)=−(+

17

13

)

We know that, (-) \times(+)=(-)(−)×(+)=(−)

=-\left(\frac{13}{17}\right)=x=−(

17

13

)=x

Therefore, the answer is TRUE.

Thus, the answers is verified.

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