Question

Graph the solution set for the quadratic inequality x2 + 2x + 1 > 0?

Answer 1

Explanation:

You want to factor the trinomial. What two numbers multiply to equal 1, but add to equal 2? Thats easy, its just 1.

You now have (x + 1) twice, so you can just square it like this:

`(x+1)^2>0`

We can make that term equal to 0 to get x = -1, but remember that this isnt an equation. This is an inequality, so x > -1

In order to graph this, you should shade everything to the right of -1 because we have the greater than sign. Make the circle open because we are not including -1. It is everything greater than -1