How to prove |a-b|≤|a|+|b|?
108084
Is it always true? $\left|A-B\right| \le \left|A\right| + \left|B\right|$
27954
Prove triangle inequality using the properties of absolute value
29679
Prove: $|x-y|\leq |x|+|y|$
23869
Prove the implication "if $ac>bc$ and $c>0$, then $a>b$" using the contrapositive
51347
Prove that $|a|\leq \max\{|b|,|c|\}$ if $b\leq a \leq c$
96217
If a and b are non-negative real numbers then demonstrate inequality
67483
Show that $|a-b|<\epsilon \Rightarrow |a|<|b|+\epsilon$
122326
Proving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$
26741
How to prove for $s<1,|a+b|^s\le|a|^s+|b|^s$
64955
Show that there are $ a,b \geq 0 $ so that $ |f(x)| \leq ax+b, \forall x \geq 0.$
14162
How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$
20346
'Algebraic' way to prove the boolean identity $a + \overline{a}*b = a + b$
104125
How prove this inequality??
24856
Proving sup(A + B) = sup A + sup B
124868
Prove that $\frac{bc}{b+c}+\frac{ca}{c+a}+\frac{ab}{a+b}<\frac{a+b+c}{2}$
66707
How to prove this inequality? $ | z-1 | \le | | z | -1 | + | z| \cdot | \arg z | $
88687
Proof of the inequality $||a+b|^p - |a|^p| \leq \epsilon |a|^p + C_{\epsilon} |b|^p$