The graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.
What is an inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The quadratic inequality is x^2 + 2x + 1 > 0
[tex]x^2 + 2x + 1 > 0[/tex]
⇒ [tex](x+1)(x+1) > 0[/tex]
Plot this function on the graph as shown below.
From the graph, the function extends in both positive and negative direction at x = -1.
On number line, we can denote it as x = -1 and extends up to infinity on both sides.
Hence we can conclude that the graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.
Learn more about inequalities here
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