Question

verify that -(-x)=x for x=2/15 and x=-13/17

Answer 1

Step-by-step explanation:

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

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.

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

We know that, $(-) \times(-)=(+)$

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

The answer is TRUE.

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

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

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

We know that, $(-) \times(-)=(+)$

$=-\left(+\frac{13}{17}\right)$

We know that, $(-) \times(+)=(-)$

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

Therefore, the answer is TRUE.

Thus, the answers is verified.

Answer 2

Answer:

$-(-x)=x$

Step-by-step explanation:

$i) Given \: x = \frac{2}{15}--(1)$

$LHS = -(-x)\\=-\big(-\frac{2}{15}\big)$

\* from (1)*\

$=\frac{2}{15}$

$=x \\=RHS$

/* from (1)*/

Therefore,

$-(-x)=x$

$i) Given \: x = \frac{-13}{17}--(2)$

$LHS = -(-x)\\=-\big(-\left(\frac{-13}{17}\right)\big)$

\* from (2)*\

$=-\frac{13}{17}$

$=x \\=RHS$

/* from (2)*/

Therefore,

$-(-x)=x$

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