ALGEBRA 8-sinf Mavzu: Sonli tengsizliklarning xossalari

Sonli tengsizliklar a > b – agar , a - b – musbat son bo‘lsa ; a < b – agar , a - b – manfiy son bo‘lsa . sonlarni taqqoslang: Mustahkamlash 0,2 <

1 -Teorema : Agar a > b va b > c , u holda a > c bo‘ladi . Isbot: а >b – ( a – b ) – musbat son . b>c – ( b – c ) – musbat son . ( a - b ) + (b - c) = a - c – musbat son . Demak , а >c GEOMETRIK TALQIN: с b а

bo‘lsa, u holda bo‘lishini isbotlang: , – 1 >0 184 ( 2 ) - misol – 1 0 1 0?????? ?????? − ?????? > ??????+

Agar a > b bo‘lsa , u holda a + с > b + c bo‘ladi . ( a + с )-( b + с ) = a + с - b - с = a - bAgar tengsizlikning ikkala qismiga ayni bir son qo’shilsa, u holda tengsizlik ishorasi o’zgarmaydi. 2 - Teorema : a – b > 0 (shartga asosan), Demak , а + c > b + c.