Question

Which values are solutions to the inequality below? . . Check all that apply.. . x2 > 49. .

Answer 1

   
$x^2 \ \textgreater \ 49 \\ \\ x_{1,2} = \pm \sqrt{49} = \pm 7 \\ \\ \boxed{x \in (-\infty, ~-7)\bigcup (7,~ +\infty) }$

Answer 2

Solving the inequality above,
                                       x² > 49
Take the square roots from both sides of the inequality,
                                     x > 7   and x < -7
Therefore, the solutions to the inequality above are shown below
                                            (-∞ , -7] ∪ [7 , +∞)