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