bo`lsa,
u holda a
+d > b+ c
bo`lishini isbotlang.
1.
Evklid
masalasi.
Agar a,
b, c, d
– musbat sonlar,
a
– ularning eng kattasi va bo`lsa,
u holda a
+d > b+ c
bo`lishini isbotlang.
2.
Aleksandriyalik Papp masalasi.
Agar a,
b, c, d
– musbat sonlar va 
bo`lsa,
u holda ad
>
bc
bo`lishini isbotlang.
3. Bernulli tengsizligi. Agar x1, x2, …, xn > –1 va x1, x2, …, xn sonlarning hammasi bir xil ishorali bo`lsa, (1 + x1) (1 + x2) … (1 + xn) ≥ 1 + x1 + x2 + … + xn bo`ladi.
Bernulli tengsizligini n = 2, 3 hol uchun isbotlang.