To determine the inequality represented by a number line graph, we need to look for the following key features:
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Filled Circle vs. Open Circle:
- Filled (or closed) circle at a point indicates that the number is included in the solution ( ≤ or ≥).
- Open circle at a point indicates that the number is not included in the solution ( < or >).
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Direction of Arrow or Line:
- If the line or arrow points to the left, the inequality is less than (< or ≤).
- If the line or arrow points to the right, the inequality is greater than (> or ≥).
Without the actual image, I cannot directly assess the number line. However, based on common conventions:
- If the number line has a filled circle at -7 and extends to the left, the inequality would be \( x \leq -7 \).
- If it has an open circle at -7 and extends left, the inequality would be \( x < -7 \).
- If there is a filled circle at -7 and the line extends to the right, the inequality would be \( x \geq -7 \).
- If there is an open circle at -7 and the line extends right, the inequality would be \( x > -7 \).
If you can provide details about whether the circle is open or closed and the direction of the line, I can help you more accurately determine the inequality!