Question

verify that -(-x)=xfor x=2/8​

Answer 1

Answer:

Step-by-step explanation:

To see whether -(-x) = x; we need to put x=\frac{2}{15} \text { in }-(-x)=xx=152 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}−(−152)=152

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

\Rightarrow \frac{2}{15}=\frac{2}{15}⇒152=152

The answer is TRUE.

Now let us check for x=-\frac{13}{17}x=−1713

We put for x=-\frac{13}{17} \text { in }-(-x)=xx=−1713 in −(−x)=x

-(-x)=-(-(-\frac{13}{17}))−(−x)=−(−(−1713))

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

=-(+\frac{13}{17})=−(+1713)

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

=-(\frac{13}{17})=x=−(1713)=x

Therefore, the answer is TRUE.

Thus, the answers is verified.