Question

If you were to graph the inequality 35<7x on a number line:(2 points)
Would you use an open or closed circle?

Would your arrow on the number line point to the left or to the right?

Answer 1

To graph the inequality \(35 < 7x\) on a number line, first, we need to solve for \(x\):

1. Divide both sides by \(7\):
\[
\frac{35}{7} < x
\]
This simplifies to:
\[
5 < x
\]
or equivalently,
\[
x > 5
\]

Now, to answer your questions:

1. **Circle Type**: You would use an **open circle** at \(5\) because the inequality is strict (it does not include \(5\)).

2. **Arrow Direction**: The arrow on the number line would point to the **right**, as it represents all values greater than \(5\).

In summary:
- Use an open circle at \(5\).
- The arrow points to the right.