Question

Graph line shows open circle at 1.75 going to the left. Looks like it goes beyond 10
Answers
1.75x<3.5
4x>7
8×>14
6×<10.5

Answer 1

The graph you described features an open circle at \( x = 1.75 \) and extends to the left, indicating that the inequality involves values less than 1.75. This suggests that we are looking for an inequality with \( x < 1.75 \).

Let’s analyze the provided options:

1. **\( 1.75x < 3.5 \)**: This can be simplified by dividing both sides by 1.75, yielding \( x < 2 \), which does not fit with the open circle at 1.75.

2. **\( 4x > 7 \)**: Dividing both sides by 4 gives \( x > 1.75 \), which is also not a match since the line goes to the left of 1.75.

3. **\( 8x > 14 \)**: Dividing both sides by 8 yields \( x > 1.75 \), which does not match.

4. **\( 6x < 10.5 \)**: Dividing both sides by 6 yields \( x < 1.75 \), which matches with the description of the graph.

Therefore, the inequality that corresponds to the graph is:

**\( 6x < 10.5 \)**.