Compare methods of solving linear equations and methods of solving linear inequalities. What do they have in common?

Please choose one topic from each pair and write one or two paragraphs on it. Express your vision of the topic in your own worlds.

  • 1a. Compare methods of solving linear equations and methods of solving linear inequalities. What do they have in common? What is different?
  • 1b. Complex numbers and solution of quadratic equations.
  • 2a. Why not all relations can be called functions?
  • 2b. How do quadratic function help us solve maximum/minimum problems?
  • 3a. What is the importance of the Fundamental Algebra Theorem and the Existence Theorem?
  • 3b. The graph of rational function may have asymptote(s), while the graph of a polynomial function cannot have any asymptotes. Why do you think it is so?

Requirement:

  • You must post your own initial┬ástatements to answer 3┬áprompts – one each from 3┬ásets above.