Explain the following text primarily based on the surrounding page content: Solve the inequality and graph the solution. 2< w 4 To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open.

Answer 1

The text you provided seems to relate to the steps needed to solve a basic inequality, particularly \(2 < w < 4\).

Here's a breakdown:

1. Understanding the Inequality: The inequality states that the variable \(w\) must be greater than 2 but less than 4. In interval notation, this is represented as \( (2, 4) \), meaning \(w\) can take any value between 2 and 4, but not including the endpoints.

2. Solving the Inequality: In this case, the inequality is already simplified, so no further solving is required. It clearly delineates the range of values that \(w\) can assume.

3. Graphing the Solution: To graph the solution on a number line:

   • You would start by plotting two key points: 2 and 4.
   • Since the inequality does not include the endpoints (indicated by the use of "<" rather than "≤"), you would represent these points as open circles (or endpoints). An open circle signifies that the value is not included in the solution.
   • You would then draw a ray or a line segment connecting the two points, indicating that all the numbers in between are part of the solution. This is represented as a line extending from just above 2 to just below 4 but not including the exact numbers.

4. Visual Representation: According to the instructions, one should use a graphical approach:

   • Plot the numbers (2 and 4) on a horizontal line.
   • Use open circles at 2 and 4.
   • Connect the two open circles with a continuous line or ray to indicate all the values between the two.

In summary, the text is providing instructions on how to solve and visually present a solution for the inequality \(2 < w < 4\) on a number line, indicating which values of \(w\) are valid solutions.