Question

Verify the property x + y = y + x of rational numbers by taking

${\displaystyle x=\frac{1}{2},y=\frac{1}{2}}$

Answer 1

Given, ${\displaystyle x=\frac{1}{2},y=\frac{1}{2}}$

Then, LHS = ${\displaystyle x+y=\frac{1}{2}+\frac{1}{2}=1}$

RHS = ${\displaystyle y+x=\frac{1}{2}+\frac{1}{2}=1}$

∴ LHS = RHS

Hence, x + y = y + x