Look at the inequality below.

Question

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.