Question

Look at the inequality below.
3n + 7 < 4

Which graph represents the solution to the inequality shown?

Answer 1

To solve the inequality \( 3n + 7 < 4 \), we can isolate \( n \) by following these steps:

1. Subtract 7 from both sides:
\[
3n + 7 - 7 < 4 - 7
\]
This simplifies to:
\[
3n < -3
\]

2. Now, divide both sides by 3:
\[
n < -1
\]

The solution to the inequality \( 3n + 7 < 4 \) is \( n < -1 \).

When graphing this solution on a number line:

- The point -1 will be represented by an open circle (indicating that -1 is not included in the solution).
- The shading will extend to the left of -1 to indicate all numbers less than -1.

So, the graph that represents the solution will show an open circle at -1 and shading to the left.