What inequality is shown by a number line that shows 3 to the left of 7?

3<7

To determine the inequality shown by a number line where 3 is to the left of 7, we need to understand how number lines work and how to interpret them.

A number line is a horizontal line that represents the real numbers. The numbers increase as you move to the right and decrease as you move to the left. The middle point of a number line usually represents zero.

In this case, if 3 is to the left of 7 on the number line, we can interpret it as 3 being smaller than 7. Thus, the inequality represented by the number line is:

3 < 7

This can be read as "3 is less than 7."

The inequality shown by a number line that has 3 to the left of 7 is:

3 < 7