. 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?

Question 10
15. Match the inequality to its graphed solution.(2 points)
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Answer 1

To graph the inequality \( 35 < 7x \):

1. First, we can solve the inequality for \( x \): \[ 35 < 7x \implies \frac{35}{7} < x \implies 5 < x \] This can also be written as \( x > 5 \).

2. Circle Type: Since the inequality is strict (it uses "<" and not "≤"), you would use an open circle at 5 to indicate that 5 is not included in the solution set.

3. Arrow Direction: The arrow on the number line would point to the right, indicating that the values of \( x \) that satisfy the inequality are greater than 5.

Question 10

For the matching part, I would need the specific inequalities and their corresponding graphs to accurately match them. However, based on what we discussed about the inequality \( x > 5 \), you would look for a graph that has an open circle at 5 and an arrow extending to the right. If you provide the specific inequalities and graph options, I can assist you further with matching them.