Giải thích các bước giải:
a.
\(x<y\\\to ax<ay\\\to ax+xy<ay+xy\\\to x(a+y)<y(a+x)\\\to \dfrac xy<\dfrac{a+x}{a+y}\)
b.
\(x>y\\\to ax>ay\\\to ax+xy>ay+xy\\\to x(a+y)>y(a+x)\\\to \dfrac xy>\dfrac{a+x}{a+y}\)
c.
\(x=y\\\to ax=ay\\\to ax+xy=ay+xy\\\to x\left(a+y\right)=y(a+x)\\\to \dfrac xy=\dfrac{x+a}{y+a}\)