Question

1. draw the graph for: $xgeq7$

Explanation:

Step1: Analyze the inequality

The inequality \(x\geq7\) means all real numbers \(x\) that are greater than or equal to \(7\).

Step2: Plot the boundary point

On the number - line, we first mark the point \(x = 7\). Since the inequality is \(\geq\) (greater than or equal to), we use a closed - circle at \(x = 7\).

Step3: Shade the region

The region to the right of \(x = 7\) (including \(x = 7\)) represents all values of \(x\) that satisfy \(x\geq7\). So we draw an arrow starting from the closed - circle at \(x = 7\) and pointing to the right.

Answer:

On the number - line, there is a closed - circle at \(x = 7\) and an arrow pointing to the right from \(x = 7\).