Question

What inequality does the number line show?

<------l-------l-------O-------l-------l-------l-------> (the open highlighted line from the circle is pointing -->)
0 1 2 3 4 5

Answer 1

The number line you described indicates an open interval starting from the point 2 and extending to the right without an endpoint. The 'O' symbol represents an open dot at 2, which means that 2 is not included in the solution set. The arrow pointing to the right indicates that the values extend indefinitely.

Thus, the inequality represented by the number line is:

\[ x > 2 \]

This means that \( x \) can be any number greater than 2, but not equal to 2.