Question

Find the solution set of 4239 and x + 6 > - 2 (1 point) \ x| x > - 8 \ The solution set is null. \{3, - 8\} \ x| x > 3 \

Answer 1

To solve the inequality \( x + 6 > -2 \), we can start by isolating \( x \).

1. Subtract 6 from both sides:
\[
x + 6 - 6 > -2 - 6
\]
\[
x > -8
\]

Now, we have the solution \( x > -8 \).

The problem states that we need to find the solution set among the given options:

1. \( x | x > -8 \)
2. The solution set is null.
3. \( \{3, -8\} \)
4. \( x | x > 3 \)

Since we found that \( x > -8 \), this means that the set of possible solutions includes all numbers greater than -8.

The correct representation of this solution set would be:

- \( x | x > -8 \), which perfectly matches the first option.

Thus, the answer is:

\( x | x > -8 \)