Asked by _behindyou_
Graph the inequality below on the number line.
a < 7
a < 7
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GPT-4o mini
To graph the inequality \( a < 7 \) on a number line:
1. **Draw a number line**: Create a horizontal line with arrows on both ends to indicate that it continues infinitely in both directions. Mark several integers on the line, including the number 7.
2. **Make a mark at 7**: Place a point or a circle at the position of 7.
3. **Use an open circle**: Since the inequality is \( a < 7 \) (not less than or equal to), use an open circle at 7 to indicate that 7 is not included in the solution.
4. **Shade to the left**: Shade the portion of the number line to the left of the open circle at 7. This indicates all numbers less than 7 are included in the solution.
The final graph represents all values of \( a \) that satisfy the inequality \( a < 7 \).
1. **Draw a number line**: Create a horizontal line with arrows on both ends to indicate that it continues infinitely in both directions. Mark several integers on the line, including the number 7.
2. **Make a mark at 7**: Place a point or a circle at the position of 7.
3. **Use an open circle**: Since the inequality is \( a < 7 \) (not less than or equal to), use an open circle at 7 to indicate that 7 is not included in the solution.
4. **Shade to the left**: Shade the portion of the number line to the left of the open circle at 7. This indicates all numbers less than 7 are included in the solution.
The final graph represents all values of \( a \) that satisfy the inequality \( a < 7 \).
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