Find all the possible values of following expressions : (i) ` ( |x|)/(x) + (|y|)/y ` (ii) `|x|/x+|y|/y+|z|/z`
Find all the possible values of following expressions :
(i) ` ( |x|)/(x) + (|y|)/y `
(ii) `|x|/x+|y|/y+|z|/z`
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` ( |x|)/(x) + (|y|)/y `
`|x|/x=x/x=1 `if x is positive
`|x|/x= -x/x=-1 `if x is negative
Similarly `|y|/y = pm 1` depending upon the value of y as positive or nagative
`therefore |x|/x+|y|/y=1+1 or -1 + 1 of -1 -1 `
=2,0,-2
(ii) `|x|/x+|y|/y+|z|/z`= -1 -1-1 or -1-1+1 or -1+1+1 or 1+1+1
=-3, -1, 1 or 3
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