# How do you solve the inequality #3 <= x^2 - 8x + 15#?

##### 1 Answer

Because the coefficient of the

#### Explanation:

Given:

Subtract 3 from both sides:

Flip the inequality:

Because the coefficient of the

Let's find the roots by factoring:

Therefore, we know that the two domains that will cause the quadratic to be greater than or equal to 0 are:

Here is a graph to prove it:

graph{x^2-8x+12 [-10, 10, -5, 5]}