If you were to graph the inequality 35<7x

Question

on a number line:(2 points)
Would you use an open or closed circle?
open

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

Answer 1

To graph the inequality \( 35 < 7x \), you first need to solve for \( x \):

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

Now, to graph this on a number line:

• Open or Closed Circle: Since the inequality is strictly greater than (>) and does not include 5, you would use an open circle at 5.

• Direction of Arrow: Since the inequality indicates values greater than 5, the arrow on the number line would point to the right.

So, in summary:

• Open circle at 5
• Arrow pointing to the right