Show that absolute value satisfies triangle inequality, how?
22237
Proof of triangle inequality
98043
How to visualize Reverse Triangle Inequality $||\mathbf{a}| − |\mathbf{b}|| ≤ |\mathbf{a} − \mathbf{b}|$?
113083
How to prove a set equality?
151154
Prove the inequality $\sqrt\frac{a}{a+8} + \sqrt\frac{b}{b+8} +\sqrt\frac{c}{c+8} \geq 1$ with the constraint $abc=1$
15116
Proof of the inequality $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2}$
23264
Inequality $ \vert \sqrt{a}-\sqrt{b} \vert \leq \sqrt{ \vert a -b \vert } $
116781
Could someone give a detailed (yet elementary) proof for Jensen's inequality?
32963
proving the inequality $\triangle\leq \frac{1}{4}\sqrt{(a+b+c)\cdot abc}$
3030
Proving inequality $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{3\sqrt[3]{abc}}{a+b+c} \geq 4$
111003
Prove that if $A\triangle B = C\triangle B$, then $A = C$
47059
How to establish this inequality: $(1-a)(1-b)(1-c) \geq 8abc$ for $a+b+c=1$?
137507
triangular series and inequality
91662
Proof for triangle inequality for vectors
20073
How to fill in inequality where all inequalities overlap
15237
Prove an inequality using complex analysis
93599
General Proof for the triangle inequality
29935
If $a, b, c, d>0$ and $abcd=1$ prove that an inequality holds true