To solve the inequality \( 4 \geq 2s \), we can start by isolating \( s \).
- Divide both sides by 2: \[ \frac{4}{2} \geq s \] This simplifies to: \[ 2 \geq s \] or equivalently, \[ s \leq 2 \]
This means \( s \) can take any value less than or equal to 2.
Graphing the Solution
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The solution includes all values of \( s \) that are less than or equal to 2. Therefore, we will have:
- Closed endpoint at \( s = 2 \) (because the inequality is less than or equal to, \( \leq \))
- Ray going to the left, indicating all values less than 2.
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Plot the endpoint at \( s = 2 \) as a closed dot (●) because \( s = 2 \) is included in the solution.
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To fulfill your requirement of selecting one endpoint to change it from closed to open, let's say we pick the endpoint \( 2 \) to change it to an open dot (○). This means we will now not include \( s = 2 \) in our solution.
Therefore, the modified inequality will be:
Changed Inequality:
\[ s < 2 \]
Summary of the Graph:
- Draw a number line.
- Place an open dot at \( s = 2 \).
- Shade the entire line to the left of 2, indicating all values less than 2 are included in the solution.
This graph representation shows that \( s \) can take any value less than 2, but not equal to 2 itself.