If you were to graph the inequality 35<7x

Question

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 \( 35 < 7x \):

1. First, solve the inequality for \( x \): \[ 35 < 7x \] Dividing both sides by 7 gives: \[ 5 < x \] or \[ x > 5 \]

2. Using an open or closed circle: Since the inequality is strict (greater than, not greater than or equal to), you would use an open circle at 5.

3. Arrow direction: The arrow on the number line would point to the right, indicating all the numbers greater than 5.

So, to summarize:

• Open circle at 5
• Arrow pointing to the right