Вопрос:

Решите неравенства из столбца A.

Ответ:

Решение:

  1. \( x + 3 \geq 17 \)
    \( x \geq 17 - 3 \)
    \( x \geq 14 \)
  2. \( x - 8 < 10 \)
    \( x < 10 + 8 \)
    \( x < 18 \)
  3. \( 4 \leq y + 7 \)
    \( 4 - 7 \leq y \)
    \( -3 \leq y \)
  4. \( -5 \geq 7 - y \)
    \( -5 - 7 \geq -y \)
    \( -12 \geq -y \)
    \( 12 \leq y \)
  5. \( 3x \geq x - 8 \)
    \( 3x - x \geq -8 \)
    \( 2x \geq -8 \)
    \( x \geq -4 \)
  6. \( 4x \leq 3x + 5 \)
    \( 4x - 3x \leq 5 \)
    \( x \leq 5 \)
  7. \( 13x \geq -39 \)
    \( x \geq \frac{-39}{13} \)
    \( x \geq -3 \)
  8. \( -5 < \frac{x}{2} \)
    \( -5 \cdot 2 < x \)
    \( -10 < x \)
  9. \( -8x \leq 48 \)
    \( x \geq \frac{48}{-8} \)
    \( x \geq -6 \)
  10. \( 7.2x \geq -36 \)
    \( x \geq \frac{-36}{7.2} \)
    \( x \geq -5 \)
  11. \( \frac{x}{3} \leq 4 \)
    \( x \leq 4 \cdot 3 \)
    \( x \leq 12 \)
  12. \( -2.5x \geq 5 \)
    \( x \leq \frac{5}{-2.5} \)
    \( x \leq -2 \)
  13. \( 3x - 12 \geq 0 \)
    \( 3x \geq 12 \)
    \( x \geq 4 \)
  14. \( 10 - 5x \geq 0 \)
    \( 10 \geq 5x \)
    \( 2 \geq x \)
  15. \( 2x - 7 \leq 0 \)
    \( 2x \leq 7 \)
    \( x \leq 3.5 \)
  16. \( 24 - 6x \leq 0 \)
    \( 24 \leq 6x \)
    \( 4 \leq x \)
  17. \( 15 - 3x \geq 0 \)
    \( 15 \geq 3x \)
    \( 5 \geq x \)
  18. \( 4x + 10 \leq 0 \)
    \( 4x \leq -10 \)
    \( x \leq -2.5 \)
  19. \( 0.9x + 81 \geq 0 \)
    \( 0.9x \geq -81 \)
    \( x \geq \frac{-81}{0.9} \)
    \( x \geq -90 \)
  20. \( -\frac{1}{2}x - \frac{1}{8} \leq 0 \)
    \( -\frac{1}{2}x \leq \frac{1}{8} \)
    \( x \geq \frac{1}{8} \cdot (-2) \)
    \( x \geq -\frac{1}{4} \)
  21. \( 16 - \frac{2}{5}x > 0 \)
    \( 16 > \frac{2}{5}x \)
    \( 16 \cdot \frac{5}{2} > x \)
    \( 40 > x \)

Ответ: 1. \( x \geq 14 \); 2. \( x < 18 \); 3. \( y \geq -3 \); 4. \( y \geq 12 \); 5. \( x \geq -4 \); 6. \( x \leq 5 \); 7. \( x \geq -3 \); 8. \( x > -10 \); 9. \( x \geq -6 \); 10. \( x \geq -5 \); 11. \( x \leq 12 \); 12. \( x \leq -2 \); 13. \( x \geq 4 \); 14. \( x \leq 2 \); 15. \( x \leq 3.5 \); 16. \( x \geq 4 \); 17. \( x \leq 5 \); 18. \( x \leq -2.5 \); 19. \( x \geq -90 \); 20. \( x \geq -0.25 \); 21. \( x < 40 \).