How do I prove the following inequality (link included)?
14480
Proving $(P(AB))^2+(P(AB^c))^2+(P(A^cB))^2+(P(A^cB^c))^2\ge\frac{1}{4}$ for any events $A$ and $B$
111903
An inequality for sides of a triangle
88605
Proof of the Reverse Triangle Inequality
22237
Proof of triangle inequality
33097
Proving an inequality without an integral: $\frac {1}{x+1}\leq \ln (1+x)- \ln (x) \leq \frac {1}{x}$
53123
Trying to derive a contradiction with this simple inequality,
62428
How to prove this inequality in Banach space?
32149
Proof of the inequality $(x+y)^n\leq 2^{n-1}(x^n+y^n)$
33617
Prove the inequality involving multiple integrals
108704
Help with proof of $|x+y| \geq |x|-|y|$
90796
Inequality Regarding e
77130
How to prove this inequality $\left|x\sin{\frac{1}{x}}-y\sin{\frac{1}{y}}\right|<2\sqrt{|x-y|}$?
122156
An inequality concerning three positive numbers
139692
Proof of inequality using AM-GM inequality
77493
Classic $c_r$-inequality in $l_r$ space: $E(|X+Y|^r)\leq c_r[E(|X|^r)+E(|Y|^r)]$
105268
prove inequality through mean value theorem
88838
How can I prove this inequality for $n\geq 2$?