Задачи по школьной математике. Линейные неравенства III

  1. \(\left[\begin{gathered}x\le 4,\\x<6,\\\end{gathered}\right.\)
  2. \(\left[\begin{gathered}x\le10,\\x<10,\\\end{gathered}\right.\)
  3. \(\left[\begin{gathered}x\le11,\\x>11,\\\end{gathered}\right.\)
  4. \(\left[\begin{gathered}x<10,\\x<10,\\\end{gathered}\right.\)
  5. \(\left[\begin{array}{l}x\le10,\\2x>50,\\\end{array}\right.\)
  6. \(\left[\begin{gathered}x<10,\\x>10,\\\end{gathered}\right.\)
  7. \(\left[\begin{array}{l}x\le10,\\x-1<x+10,\\2x>50,\\\end{array}\right.\)
  8. \(\left[\begin{array}{l}x^2+x>x(x+2)-1,\\2x-1<x+4,\\\end{array}\right.\)
  9. \(\begin{cases}x\le10,\\x-1<x+10,\\2x>50,\\\end{cases}\)

Ответы

  1. \((-\infty;6)\)
  2. \((-\infty;10]\)
  3. \((-\infty;+\infty)\)
  4. \((-\infty;10)\)
  5. \((-\infty;10]\cup(25;+\infty)\)
  6. \((-\infty;10)\cup(10;+\infty)\)
  7. \((-\infty;+\infty)\)
  8. \((-\infty;5)\)
  9. нет решений