Question

35 < 7x

Would be a closed or open circle on a number line?

I chose open.

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

I chose left

Answer 1

Let's solve the inequality \( 35 < 7x \) step by step.

1. First, isolate \( x \) by dividing both sides by 7:
\[
\frac{35}{7} < x
\]
Simplifying gives:
\[
5 < x
\]
or equivalently,
\[
x > 5
\]

2. Now, let's determine the type of circle for the number line. Since the inequality is \( x > 5 \) (not \( x \geq 5 \)), the circle at 5 is open. This means it does not include 5 in the solution set.

3. Next, for the arrow direction, since \( x \) can be any value greater than 5, the arrow points to the right on the number line.

In summary:
- The circle is **open**.
- The arrow points to the **right**.

So, the correct choices are:
- Open circle: ✅
- Arrow points to the right: ✅