Question

If x=4by9,y= -7by12 and z= -2by3,then verify that x-(y-x) is not equal to (x-y)-z​

Answer 1

First, solve x-(y-z)

⇒x-(y-z)

⇒$\frac{4}{9} -(\frac{-7}{12} -\frac{-2}{3} )$

⇒$\frac{4}{9} -(\frac{1}{12})$

⇒$\frac{4}{9}-\frac{1}{12}$

⇒$\frac{13}{36}$

Second, solve (y-x)-z

⇒(y-x)-z

⇒$(\frac{-7}{12} -\frac{4}{9} )-\frac{-2}{3}$

⇒$(\frac{-37}{36})- \frac{-2}{3}$

⇒$\frac{-37}{36}- \frac{-2}{3}$

⇒$\frac{-13}{36}$

The equations 13/36 and -13/36 are not equal.

∴It is verified that x-(y-z) and (y-x)-z are not equal.

Answer 2

Not equal.

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