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Verity the property: x\ "x"\ (y"\ x"\ z)...

Verity the property: `x\ "x"\ (y"\ x"\ z)=(x\ "x\ "y)x\ z\ b y\ t a k ing:\ `
(i)`x=1/2, y=5/(-4), z=(-7)/5`
(ii)`x=5/7, y=(-12)/(13), z=(-7)/(18)`

Text Solution

Verified by Experts

(i)`x=1/2, y=5/(-4), z=(-7)/5`
`=>[1/2 xx (-4)/5] xx (-7)/5=1/2 xx [(-4)/5 xx (-7)/5]`
`=>4/10 xx 7/5=1/2 xx 28/25`
`=>28/50=28/50`

(ii)`x=5/7, y=(-12)/(13), z=(-7)/(18)`
`=>[5/7 xx (-12)/13] xx (-7)/18=5/7 xx [(-12)/13 xx (-7)/18]`
`=>60/91 xx 7/18=5/7 xx 84/234`
`=>420/1638=420/1638`
Hence Verified.
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