Solve for x. Graph the solution.

Question

3x less than 9
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Question content area right
Part 1
The solution is x less than
  
enter your response here.

Answer 1

To solve the inequality \( 3x < 9 \), we will start by isolating \( x \).

1. Divide both sides of the inequality by 3:

\[ x < \frac{9}{3} \]

2. Simplify \( \frac{9}{3} \):

\[ x < 3 \]

So the solution is:

Part 1: The solution is \( x < 3 \).

Graphing the Solution

To graph the solution \( x < 3 \):

• Draw a number line.
• Place an open circle at 3 (indicating that 3 is not included in the solution).
• Shade to the left of 3, showing that all values less than 3 are included in the solution.

Here's a textual representation of the graph:

<---o================
    0  1  2  3  4  5

The open circle at 3 denotes that \( 3 \) itself is not a part of the solution set, while the shaded area to the left indicates all values less than 3.