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 will first isolate \( n \).

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

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

The solution to the inequality is \( n < -1 \).

To represent this graphically:

• On a number line, you would place an open circle at \(-1\) to indicate that \(-1\) is not included in the solution.
• The region to the left of \(-1\) would be shaded, indicating all values less than \(-1\).

If you have multiple graph options, look for one that shows an open circle at \(-1\) with shading to the left.