To graph the inequality \(35 < 7x\) on a number line, first, we need to solve for \(x\):
- Divide both sides by \(7\): \[ \frac{35}{7} < x \] This simplifies to: \[ 5 < x \] or equivalently, \[ x > 5 \]
Now, to answer your questions:
-
Circle Type: You would use an open circle at \(5\) because the inequality is strict (it does not include \(5\)).
-
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.