Tenglamani yeching: (218 – 219):

218.                       1) x(2x + 5) = 0;                                2) x(3x – 4) = 0;

                   3) (x – 5)(3x + 1) = 0;                       4) (x + 4)(2x – 1) = 0.

 

219.                       1)                                                2)

                   3)                            4)

 

220.                       Son o`qida a nuqta b nuqtadan chapda yotadi. Quyidagi son musbatmi yoki manfiymi:

                1) b – a;                        2) 2 + b – a;

                3) a – b;                         4) a – 3 – b?

 

221.                       Tengsizlikni yeching:

1) x + 9 > 8 – 4x;                              2) 3(y + 4) ≥ 4 – (1 – 3y);

3) 5(0,2 + y) – 1,8 ≥ 4,3 + 5y;            4) 3(x – 5) + 9 > 15.

 

 

 

222.                       Tengsizliklar sistemasini yeching:

1)

2)

 

223.                       Tenglamani yeching:

1) |x – 1| = 3,4;                                  2) |1 – x| = 2,4;

3) |1 – 2x| = 5;                                   3) |3x – 2| = 1.

 

224.                       Tengsizlikni yeching:

1) |x – 1| ≤ 3,4;                                  2) |x – 1| ≥ 3,4;

3) |x – 1| < 3,4;                                  4) |2x + 1|≥3.

 

 

O`ZINGIZNI TEKSHIRIB KO`RING!

 

1.     x  ning istalgan qiymatida

tengsizlikning to`g`riligini isbotlang.

2.     Tengsizlikni yeching:

1) 12 – 5x > 0;     2) 3x – 7 ≤ 4(x + 2);      3)

3.     Tengsizliklar sistemasini yeching:

1)      2)        3)

 

225.                       a < 2b bo`lsin. Isbotlang:

1) 4a – 2b < a + 4b;                         2) 3a – 2b < a + 2b;

3) a + 2b < 3a – 2b;                          4) a + b < 4a – 5b.

 

226.                       Uchburchakning bir tomoni 4 sm dan uzun, ikkinchi tomoni birinchisidan 1,5 marta uzun, uchinchi tomoni ikkinchisidan 1,5 marta uzun. Uchburchakning perimetri 19 sm dan uzun ekanini isbotlang.

 

227.                       x  ning qanday qiymatlarida y= –x + 1 va y = x + 2 funksiyalarning qiymatlari bir vaqtda:         1) musbat;  2) manfiy;  3) 1 dan katta;  4) 2 dan katta bo`ladi?

 

228.                       Juft sonning undan keyin keluvchi juft sonning uchlangani bilan yig`indisi 134 dan katta, ayni shu juft sonning undan oldin keluvchi juft sonning ikkilangani bilan yig`indisi 104 dan kichik. Shu sonni toping.

 

229.                       Toq sonning undan keyin keluvchi toq sonniong ikkilangani bilan yig`indisi 151 dan kichik, ayni shu toq sonning undan oldin keluvchi toq sonning uchlangani bilan yig`indisi 174 dan katta. Shu sonni toping.