1.

Verify that -(-x) = x for x = 2/5

Answer»

Step-by-step explanation:

Givenx=

15

2

−−(1)

\begin{gathered}LHS = -(-X)\\=-\BIG(-\frac{2}{15}\big)\end{gathered}

LHS=−(−x)

=−(−

15

2

)

\* from (1)*\

=\frac{2}{15}=

15

2

\begin{gathered}=x \\=RHS\end{gathered}

=x

=RHS

/* from (1)*/

THEREFORE,

-(-x)=x−(−x)=x

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

17

−13

−−(2)

\begin{gathered}LHS = -(-x)\\=-\big(-\LEFT(\frac{-13}{17}\right)\big)\end{gathered}

LHS=−(−x)

=−(−(

17

−13

))

\* from (2)*\

=-\frac{13}{17}=−

17

13

\begin{gathered}=x \\=RHS\end{gathered}

=x

=RHS

/* from (2)*/

Therefore,

-(-x)=x−(−x)=x

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