Solve for x. Graph the solution.

Question

2x less than 4
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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 \( 2x < 4 \), you can follow these steps:

1. Divide both sides of the inequality by 2: \[ x < \frac{4}{2} \]

2. Simplify the right side: \[ x < 2 \]

Thus, the solution is \( x < 2 \).

Graphing the Solution

To graph this inequality on a number line:

1. Draw a horizontal line (the number line).
2. Put a point at \( x = 2 \).
3. Since the inequality is "less than" (not "less than or equal to"), draw an open circle at \( x = 2 \) to indicate that \( 2 \) is not included in the solution.
4. Shade the line to the left of the open circle to represent all the numbers less than \( 2 \).

If you need to represent it visually, simply draw an open circle at 2 and shade to the left.

The solution is:

\[ x < 2 \]