Question

Solve for x
and choose the correct solution: x+5_>-1 x _>-4

Answer 1

To solve the inequalities \( x + 5 > -1 \) and \( x > -4 \), we will address each inequality individually.

1. **Solving the first inequality**:
\[
x + 5 > -1
\]
Subtract 5 from both sides:
\[
x > -1 - 5
\]
Simplifying gives:
\[
x > -6
\]

2. **The second inequality** is given as:
\[
x > -4
\]

Now, we have two inequalities to consider:
- \( x > -6 \)
- \( x > -4 \)

The more restrictive inequality is \( x > -4 \), which means that \( x > -4 \) is the solution to the system of inequalities.

Thus, the final solution is:
\[
\boxed{x > -4}
\]