Express the set of numbers shown on the number line

Given:

The graph of a number line.

To find:

The set of values for the given number line.

Solution:

As we move from right to left on a number line the values decreased however as we move from left to right on a number line the values increased.

From the given number line it is clear that there is an open circle at 7  and a close circle at 10. It means 7 is not included in the solution set but 10 is included in the solution set.

From the point 7, the arrow approaching to the left it means all the values less than 7 are included in the solution set, i.e., x < 7.

From the point 10, the arrow approaching to the right it means all the values greater than 10 or equal to 10 are included in the solution set, i.e., x ≥ 10.

Solution set : x < 7 or  x ≥ 10.

Therefore, the correct option is A.