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Section 2.12 : Polynomial Inequalities

Solve each of the following inequalities.

  1. \({z^2} - 11z + 24 < 0\)
  2. \(2{x^2} - 3 \ge 5x\)
  3. \({t^2} > 30 - 7t\)
  4. \({m^2} - 7m \le 8\)
  5. \({x^2} + 6x \ge - 9\)
  6. \({u^2} + u \le 1\)
  7. \({w^2} + 4w - 12 > 0\)
  8. \({x^2} + 49 > 14x\)
  9. \({t^2} \le t\)
  10. \({x^2} - 8x > - 14\)
  11. \(9{u^2} - 6u + 1 < 0\)
  12. \({z^6} + 8{z^5} + 12{z^4} \ge 0\)
  13. \(2{w^3} - 3{w^2} > 14w\)