verify that -(-x) =xfor x=2/15
Answers
Answer:
Step-by-step explanation:
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.
-(-\frac{2}{15})=\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)=-(-(-\frac{13}{17}))−(−x)=−(−(−
17
13
))
We know that, (-) \times(-)=(+)(−)×(−)=(+)
=-(+\frac{13}{17})=−(+
17
13
)
We know that, (-) \times(+)=(-)(−)×(+)=(−)
=-(\frac{13}{17})=x=−(
17
13
)=x
Therefore, the answer is TRUE.
Thus, the answers is verified.