Write down the inequality shown on the number line below.
Understand the Problem
The question is asking to write down the inequality represented on a number line, which typically involves identifying the range of values indicated by the line's representation, including any endpoints or directions indicated by open or closed circles.
Answer
The inequality represented on the number line is $x > 0$.
Answer for screen readers
The inequality represented on the number line is: $x > 0$.
Steps to Solve
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Identify the range of values Look at the number line to determine which numbers are included in the inequality. The line extends from a number towards another direction.
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Determine open or closed points Check if the endpoints are open (indicating that the endpoint number is not included in the solution) or closed (indicating that the endpoint number is included in the solution). In this case, it seems the left endpoint (0) is open and the right direction extends indefinitely.
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Write the inequality Based on the identified range and endpoints, write down the appropriate inequality. For an open endpoint at 0 extending to the right, it will be expressed as: $$ x > 0 $$
The inequality represented on the number line is: $x > 0$.
More Information
This inequality indicates that any number greater than 0 is included in the solution, meaning 0 is not included but all positive numbers are.
Tips
- Misidentifying open and closed circles. Always check the type of circle to determine if the endpoint is included or not.
- Confusing the direction of the inequality. Be careful to note whether the line extends to the right (greater than) or left (less than).
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