Question

If you were to graph the inequality below on a number line:
35<7x
would you use an open or closed circle
would your arrow on the number line point to the left or the right

Answer 1

To graph the inequality 35<7x on a number line, you would use an open circle and the arrow would point to the right.

Explanation:

First, let's isolate the variable x by dividing both sides of the inequality by 7:

35/7 < 7x/7
5 < x

Now we can interpret this inequality as "x is greater than 5."

To graph this on a number line, you would start by placing an open circle on the number 5 to indicate that 5 is not included in the solution.

Then, since the inequality is "x is greater than 5," the arrow points to the right, indicating that any number larger than 5 is part of the solution.

The graph would look like this:
-----o---->