Question

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

Answer 1

Choice C shows the correct graph.

Explanation:

We can factor the left side as (x+1)²>0. By the trivial inequality (for any x, x²≥0), this is true for all values of x as long as x+1≠0. So, the correct option is C, which correctly shows the solution set
`x \in (-\infty,-1) \ \cup \ (-1, \infty)`.