Respuesta :

Answer:

GIVEN :-

  • [tex]x = -\frac{1}{2}[/tex]
  • [tex]y = \frac{2}{4} = \frac{1}{2}[/tex]
  • [tex]z= -\frac{2}{8} = -\frac{1}{4}[/tex]

TO VERIFY :-

  • [tex]x + (y + z) = (x + y) + z[/tex]

SOLUTION :-

L.H.S. =

[tex]x+ (y + z)[/tex]

[tex]=> -\frac{1}{2} + (\frac{1}{2} + \frac{-1}{4} )[/tex]

[tex]=> -\frac{1}{2} + (\frac{2 - 1}{4} )[/tex]

[tex]=> -\frac{1}{2} + \frac{1}{4}[/tex]

[tex]=> \frac{-2 + 1}{4}[/tex]

[tex]=> -\frac{1}{4}[/tex]

R.H.S. =

[tex](-\frac{1}{2} + \frac{1}{2} ) + \frac{-1}{4}[/tex]

[tex]=> 0 - \frac{1}{4}[/tex]

[tex]=> -\frac{1}{4}[/tex]

∴ L.H.S. = R.H.S. (Verified)

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