Question

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

Answer 1

we have

$x^{2}+2x + 1 > 0$

we know that

$x^{2}+2x+1=(x+1)^{2}$

so

$(x+1)^{2}> 0$

two solutions

first solution

$(x+1)> 0$

$x > -1$

the first solution is the interval---------> (-1,∞)

second solution

$-(x+1)> 0$

$-x-1> 0$

$-x> 1$

$x< -1$

the second solution is the interval---------> (-∞,-1)

therefore

the solution is all real numbers except the number $-1$

the answer in the attached figure

Answer 2

The answer is C x<16