Tengsizliklarni yeching  (163–164):

163.        1) x + 2 ≥ 15;                 2) x – 6 < 8;                    3) 3 ≤ y + 6;

         4) –4 > 5 – y;                 5) 2z ≥ z – 7;                   6) 3z ≤ 2z + 4.

164.        1) 12 x > –36;       2) –7 x ≤ 56;                            3)

          4)            5) 7,2z > –27;                          6) –4,5 ≥ 9.

     Tengsizlikni yeching va uning yechimlari to`plamini son o`qida tasvirlang (165 –166):

165.        1) 2x – 16 > 0;                                            2) 18 – 3z > 0;

         3) 3x – 15 < 0;                                            4) 25 – 5x < 0;

         5) 9 – 3x ≥ 0;                                              6) 2x + 4 ≤ 0.

166.        1)  3(x + 1) ≤ x + 5;                                    2) 4(x – 1) ≥ 5 + x;

          3) 2(x – 3) + 4 < x – 2;                               4) x + 2 < 3(x + 2) – 4.

          5)                                           6)

167.        x ning qanday qiymatlarida ifoda musbat bo`lishini aniqlang:

1)                        2)                         3) 2(x + 3) + 3x;

4) 3(x – 5) – 8x;             5)                   6)

168.         y ning qanday qiymatlarida ifoda manfiy bo`lishini aniqlang:

1)                        2)                        3)

4)                   5)                   6)

169.        Tengsizlikning yechimi bo`ladigan eng kichik butun sonni toping:

1) 4(y – 1) < 2 + 7y;                          2) 4y – 9 > 3(y – 1);

3) 3(x – 2) -2x < 4x + 1;                    4) 6x + 1 ≥ 2(x – 1 ) – 3x.

170.        Tengsizlikning yechimi bo`ladigan eng katta butun sonni toping:

1) 5 – 2x > 0;                                             2) 6x + 5 ≤ 0;

3) 3(1 – x) > 2(2 – x);                                 4) 4(2 – x) < 5(1 – x).

171.        1) a ning qanday qiymatlarida  kasr  kasrdan katta bo`ladi?

2) b ning qanday qiymatlarida  kasr  kasrdan kichik bo`ladi?

3) x ning qanday qiymatlarida  kasr  va  kasrlar ayirmasidan katta bo`ladi?

4) x ning qanday qiymatlarida  va  kasrlar yig`indisi  kasrdan kichik bo`ladi?

Tengsizlikni yeching (172 –174):

172.        1) 3(x – 2) + x < 4x + 1                               2) 5(x + 2) – x > 3(x – 1) + x;

        3)                                        4)

173.        1) 5(x + 2) + 2(x – 3) < 3(x – 1) + 4x;

        2) 3(2x – 1) + 3(x – 1) > 5(x + 2) + 2 (2x – 3);

3)

4)

174.        1)          2)          3)

         4)        5)      6)

175.        x ning qanday qiymatlarida y = 2,5x – 4 funksiyaning qiymati: 1) musbat; 2) manfiy; 3) 1 dan katta; 4) –4 dan kichik?

176.        x ning qanday qiymatlarida y = 3,5 – 0,5x funksiyaning qiymati: 1) musbat; 2) nomanfiy; 3) 3,5 dan katta emas; 4) 1 dan kichik emas?

177.        y= 3 – 2x funksiyaning grafigini yasang. Grafik yordamida x ning grafikning nuqtalari:

1) abssissalar o`qidan yuqorida; 2)  y = 2 to`g`ri chiziqdan yuqorida; 3) abssissalar o`qidan pastda; 4) y = 4 to`g`ri chiziqdan pastda joylashgan qiymatlarini toping.

Natijalarni tegishli tengsizliklarni yechish bilan tekshiring.

178.        Ishchi reja bo`yicha 40 mahsulot tayyorlashi kerak edi. U rejani 7% dan ko`proq oshirib bajarishi uchun nechta mahsulot tayyorlashi kerak?