How do you solve and write the following in interval notation: #x^2+9x+20≥2#?
Start by solving as a regular quadratic equation (we change the inequality sign to an equal for the time being).
Now, we select test points that are at different segments of the number line representation of this inequality, as shown below.
BLUE SEGMENT: Let the test point be
Therefore, in interval notation, the solution set is
Hopefully this helps!