Question

Solve the inequality.
How can you interpret the inequality?
p + 4 > -7

p plus 4 is less than or equal to -7

p plus 4 is greater than or equal to -7

p plus 4 is less than -7

p plus 4 is greater than -7
Great job!
To solve the inequality, first solve for the value of p that makes the associated equation true. That will give you the boundary point for the inequality. Solve on paper or show your work below. Then, enter your answer on Zearn.
p + 4 > -7
p+4
=
−7
−
−

p
=
Good work!
-11 is the solution to the equation and the boundary point for the inequality. Is -11 also a solution to the inequality?
p + 4 > -7

p + 4 = -7
p = -11

Yes

No

Answer 1

To solve the inequality \( p + 4 > -7 \), we start by isolating \( p \).

1. Subtract 4 from both sides:
\[
p + 4 - 4 > -7 - 4
\]
This simplifies to:
\[
p > -11
\]

Now, let's analyze the results.

### Interpretation of the Inequality
The inequality \( p > -11 \) means that \( p \) can take any value greater than -11, but not equal to -11 itself.

### Boundary Point
The boundary point from solving the equation \( p + 4 = -7 \) is \( p = -11 \). However, since the original inequality is \( p + 4 > -7 \), \( p = -11 \) is **not** included in the solution set.

### Is -11 a solution to the inequality?
The answer is:
**No**, -11 is not a solution to the inequality \( p + 4 > -7 \), because the inequality specifically states that \( p \) must be greater than -11, not equal to -11.

So, the complete solution is:
\[
p > -11
\]