Week 12 in Precalc 11 – Solving Quadratic Inequalities

This week in Precalc 11 I have learned how to solve quadratic inequalities and how to draw them on the number line with an interval notation. I chose to display my learning of solving the specific inequality of quadratics because it can be quite simply be solved like a linear inequality but you need to remember the old tactics we used to solve quadratics. Quadratic inequalities have an X^2 and greater than or less than/equal too signs.

You can solve an quadratic inequality in just 6 easy steps…

  1. Make onside of the inequality 0
  2. Factor or Complete the square or Quadratic Formula
  3. Find the zeroes (roots, or x-intercepts)
  4. Draw it on the number line
  5. Figure out if it opens up or down,  and if it is able or below zero
  6. Than write your solution (Interval Notation)

Down below I have displayed the inequality being solved, and how it looks like on a number line and in interval notation.

 

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