Question

Prove that every metric space is also a Hausdorff space. @ganeshie8 @myininaya @UnkleRhaukus @RadEn @robtobey @chmvijay @Luigi0210 @eliassaab @genius12 @Vincent-Lyon.Fr @Preetha @Kainui @ehuman @wolfe8 @lucaz @INeedHelpPlease? @khadeeja @thadyoung @A_clan @tester97 @Andras @Confusionist @linh412986 @BlackLabel @leozap1 @JMark @Microrobot @zacharyf @Rubio101 @NaomiBell1997 @MeganEdward @theballer225 @link,zoro @Goldenmoon @CrayolaCrayon_

Answer 1

If
\[
x\neq y \\
d(x,y) = 3 a >0\\\]
The two open balls of center x and y and of radius a are disjoint.
We are done

Answer 2

LOL THAT"S SIMPLE

Answer 3

gn gais

Answer 4

You guys want more problems?