If you were to graph the inequality 35<7x on a number line:(2 points)

Question

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.