ТРЕНАЖЕР «Линейное неравенство» 1.7x+50. 16.5x+1-1+4x 29.-4(-x+3) > 5x 2-7x-30. 3.-10x+80. 17.2(-4-x)>-10 30.4(-7x+2) <5x 18.4(1-x)>-8 31.-2(x+1)≤ 3x 4.-2x-10<0 19.3(3+x)-9 32.-4(-x-5) <4-2x 5. 6.x +310. 20.4(7+x) ≤ 10 33.-4(-x-5) <7+3x 6.7x+1-1 7.5x-10-6. 21.-5(-7x+3) <8x 34.-(7x-3)-1+5x 8.-9x+92. 9.-5x+2-9x. 23. 22.-3(-7.x-2) <7x 4(7x+2) <x 35.4(-2x+7) ≤3+4x 10.5x2-2x 24. 2(5x-4) <7x 36.-10-10(-6x+7) <1 37.-2+6(10x+7) < 2 11. 5x+43x 25. 2(3x+1)-9.x 12.9x+2x 38.7+3(7x-1) > 3 26.7(7x+3) > 9x 13.-2x-8>6+7x 39.-10-4(-5x+4) > 2 14.x-4-6+7x. 27. 9(-9.x+10) > -x 40.2x+2(-1-7x) <-2x-6 15.5x-93-3x. 28.4(-9x-7)>-7.x

Ответ: Решения неравенств представлены ниже.

Решение неравенств:

1. -7x + 5 > 0

   -7x > -5

   x < \frac{5}{7}

2. -7x - 3 > 0

   -7x > 3

   x < -\frac{3}{7}

3. -10x + 8 \le 0

   -10x \le -8

   x \ge \frac{8}{10}

   x \ge \frac{4}{5}

4. -2x - 10 \le 0

   -2x \le 10

   x \ge -5

5. 6x + 3 < 10

   6x < 7

   x < \frac{7}{6}

6. 7x + 1 < -1

   7x < -2

   x < -\frac{2}{7}

7. -5x - 10 \le -6

   -5x \le 4

   x \ge -\frac{4}{5}

8. -9x + 9 \le 2

   -9x \le -7

   x \ge \frac{7}{9}

9. -5x + 2 < -9x

   4x < -2

   x < -\frac{1}{2}

10. 5x - 2 < -2x

    7x < 2

    x < \frac{2}{7}

11. 5x + 4 \ge 3x

    2x \ge -4

    x \ge -2

12. 9x + 2 \ge x

    8x \ge -2

    x \ge -\frac{1}{4}

13. -2x - 8 > 6 + 7x

    -9x > 14

    x < -\frac{14}{9}

14. x - 4 > -6 + 7x

    -6x > -2

    x < \frac{1}{3}

15. -5x - 9 \le 3 - 3x

    -2x \le 12

    x \ge -6

16. -5x + 1 \le -1 + 4x

    -9x \le -2

    x \ge \frac{2}{9}

17. 2(-4 - x) > -10

    -8 - 2x > -10

    -2x > -2

    x < 1

18. 4(1 - x) > -8

    4 - 4x > -8

    -4x > -12

    x < 3

19. -3(3 + x) \le -9

    -9 - 3x \le -9

    -3x \le 0

    x \ge 0

20. -4(7 + x) \le 10

    -28 - 4x \le 10

    -4x \le 38

    x \ge -\frac{19}{2}

21. -5(-7x + 3) < 8x

    35x - 15 < 8x

    27x < 15

    x < \frac{5}{9}

22. -3(-7x - 2) < 7x

    21x + 6 < 7x

    14x < -6

    x < -\frac{3}{7}

23. -4(7x + 2) < x

    -28x - 8 < x

    -29x < 8

    x > -\frac{8}{29}

24. -2(5x - 4) < 7x

    -10x + 8 < 7x

    -17x < -8

    x > \frac{8}{17}

25. -2(3x + 1) > -9x

    -6x - 2 > -9x

    3x > 2

    x > \frac{2}{3}

26. 7(7x + 3) > 9x

    49x + 21 > 9x

    40x > -21

    x > -\frac{21}{40}

27. 9(-9x + 10) > -x

    -81x + 90 > -x

    -80x > -90

    x < \frac{9}{8}

28. 4(-9x - 7) > -7x

    -36x - 28 > -7x

    -29x > 28

    x < -\frac{28}{29}

29. -4(-x + 3) > 5x

    4x - 12 > 5x

    -x > 12

    x < -12

30. 4(-7x + 2) \le 5x

    -28x + 8 \le 5x

    -33x \le -8

    x \ge \frac{8}{33}

31. -2(-x + 1) \le 3x

    2x - 2 \le 3x

    -x \le 2

    x \ge -2

32. -4(-x - 5) \le 4 - 2x

    4x + 20 \le 4 - 2x

    6x \le -16

    x \le -\frac{8}{3}

33. -4(-x - 5) \le 7 + 3x

    4x + 20 \le 7 + 3x

    x \le -13

34. -(7x - 3) \le -1 + 5x

    -7x + 3 \le -1 + 5x

    -12x \le -4

    x \ge \frac{1}{3}

35. 4(-2x + 7) \le 3 + 4x

    -8x + 28 \le 3 + 4x

    -12x \le -25

    x \ge \frac{25}{12}

36. -10 - 10(-6x + 7) < 1

    -10 + 60x - 70 < 1

    60x < 81

    x < \frac{27}{20}

37. -2 + 6(10x + 7) < 2

    -2 + 60x + 42 < 2

    60x < -38

    x < -\frac{19}{30}

38. 7 + 3(7x - 1) > 3

    7 + 21x - 3 > 3

    21x > -1

    x > -\frac{1}{21}

39. -10 - 4(-5x + 4) > 2

    -10 + 20x - 16 > 2

    20x > 28

    x > \frac{7}{5}

40. 2x + 2(-1 - 7x) < -2x - 6

    2x - 2 - 14x < -2x - 6

    -12x - 2 < -2x - 6

    -10x < -4

    x > \frac{2}{5}

Ответ: Решения неравенств представлены выше.