# How do you solve and write the following in interval notation: #x^2+9x+20≥2#?

##### 1 Answer

May 30, 2016

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

Testing:

Therefore, in interval notation, the solution set is

Hopefully this helps!