The problem asks us to write the inequality in terms of $x$ that each of the given diagrams represents. The first diagram (a) is a number line, and the second diagram (b) is a shaded region in the xy-plane.

1. Problem Description

The problem asks us to write the inequality in terms of $x$ that each of the given diagrams represents. The first diagram (a) is a number line, and the second diagram (b) is a shaded region in the xy-plane.

2. Solution Steps

(a) The number line has a solid circle at $-3$ and an arrow pointing to the right. A solid circle means that $-3$ is included in the solution. The arrow pointing to the right means that all numbers greater than $-3$ are included. Thus, the inequality is $x \ge -3$.

(b) The shaded region is to the left of the vertical line $x=1$. Since the line is dashed, the line $x=1$ is not included in the solution. The inequality is thus $x < 1$.

3. Final Answer

(a) $x \ge -3$

(b) $x < 1$