Questions: Express the graph shown in color using interval notation. Also express the graph as an inequality involving x.

Solution Steps

The graph shows a number line with a shaded region starting from 5 and extending to the right indefinitely. This indicates that the interval starts at 5 and goes to positive infinity.

Since the shaded region starts at 5 and includes 5 (indicated by the solid dot), the interval is closed at 5. The interval extends to positive infinity, which is always open.

The interval notation for a closed interval starting at 5 and extending to positive infinity is \([5, \infty)\).

The inequality that represents this interval is \(x \geq 5\).

Final Answer