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Find all the possible values of expressi...

Find all the possible values of expression :
` ( |x|)/(x) + (|y|)/y `

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To find all the possible values of the expression \( \frac{|x|}{x} + \frac{|y|}{y} \), we will analyze the expression based on the signs of \( x \) and \( y \). ### Step-by-Step Solution: 1. **Understanding the Absolute Value**: - The expression \( \frac{|x|}{x} \) can take two values: - If \( x > 0 \), then \( |x| = x \) and \( \frac{|x|}{x} = 1 \). - If \( x < 0 \), then \( |x| = -x \) and \( \frac{|x|}{x} = -1 \). ...
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