Question 1Let $x,y$ and $z$ be real numbers satisfying $x\gt y\gt 0$ and $z\ne0$. Which of the inequalities below is not always true?$x+z\gt y+z$$x-z\gt y-z$$xz\gt yz$$\frac1y+z\gt \frac1x+z$$xz^2\gt yz^2$