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…
- Make onside of the inequality 0
- Factor or Complete the square or Quadratic Formula
- Find the zeroes (roots, or x-intercepts)
- Draw it on the number line
- Figure out if it opens up or down, and if it is able or below zero
- 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.