Solve for x:

Question

x2 − 8 < 1

(1 point)
Responses

x > 18
x > 18

x < 18
x < 18

x < 11
x < 11

x > 4.5
x > 4.5

Answer 1

To solve the inequality \( x^2 - 8 < 1 \), we first rearrange it:

\[ x^2 - 8 < 1 \] \[ x^2 < 9 \]

Now, we take the square root of both sides, remembering that this will give us two inequalities:

\[ -\sqrt{9} < x < \sqrt{9} \] \[ -3 < x < 3 \]

Thus, the solution set is:

\[ (-3, 3) \]

Now, let's analyze the options you've provided:

• \( x > 18 \)
• \( x < 18 \)
• \( x < 11 \)
• \( x > 4.5 \)

None of these options reflect the correct solution to the inequality \( -3 < x < 3 \). However, if you're looking for the closest answer or if there's a misunderstanding, please let me know!