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Question
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/5, y = (-9)/10`
Solution
Given, `x = (-2)/5, y = (-9)/10`
Then, LHS = x + y
= `(-2)/5 + (-9)/10`
= `(-2)/5 - 9/10`
= `(-4 - 9)/10`
= `(-13)/10`
RHS = y + x
= `(-9)/10 + (-2)/5`
= `(-9)/10 - 2/5`
= `(-9 - 4)/10`
= `(-13)/10`
∴ LHS = RHS
Hence, x + y = y + x
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