Write down the inequality shown on the number line below.
Understand the Problem
The question is asking to write down the inequality that corresponds to the number line provided in the image. It requires identifying the values represented and the direction of the inequality.
Answer
The inequality is \( x > 6 \).
Answer for screen readers
The inequality shown on the number line is ( x > 6 ).
Steps to Solve
- Identify the Points on the Number Line
The number line provided ranges from 0 to 9. We need to note where the open circle and the arrow point to determine the inequality.
- Determine the Open Circle's Meaning
The open circle at 6 indicates that 6 is not included in the set of numbers for the inequality. This is represented by the symbol "<".
- Analyze the Arrow Direction
The arrow extends to the right from 6, implying that the values are greater than 6. This means we combine the previous steps to write the inequality.
- Write the Final Inequality
Based on the identified points, the inequality can be expressed as:
$$ x > 6 $$
where ( x ) represents all numbers greater than 6.
The inequality shown on the number line is ( x > 6 ).
More Information
In inequalities, an open circle indicates that the number at that point is not part of the solution set. The direction of the arrow indicates whether the solution includes numbers greater or less than that point. In this case, the arrow signifies all numbers greater than 6.
Tips
- Confusing Open and Closed Circles: Remember that an open circle means the number itself is not included (e.g., ( x > 6 ) rather than ( x \geq 6 )).
- Incorrectly Interpreting Arrow Direction: An arrow pointing to the right indicates "greater than," while an arrow pointing to the left signifies "less than."
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