Today's soundtrack is Christmas With the Mills Family, a Spotify playlist that includes my favourite Christmas songs.
To help visual learners understand quadratic inequalities, I've designed a chart with two graphs that detail how we should understand the equations.
Links to the prior parts of this lesson:
To summarize, when our negative symbol in the equation inverts our parabola, it also inverts our solution, meaning that we need to carefully consider whether our equation is negative or positive before writing down an answer.
x² > 0 or -x² < 0
Intervals: solution, not solution, solution
Answer: x < #, or x > #, x ∈ ℝ
x² < 0 or -x² > 0
Intervals: not solution, solution, not solution
Answer: # < x < #, x ∈ ℝ