Question

question 3a which graph represents the compound inequality x ≥ 0 and x < 6?

Explanation:

Step1: Analyze the first - inequality

The inequality $x\geq0$ means that $x$ includes $0$ and all values greater than $0$. On a number - line, this is represented by a closed circle at $0$ (because $0$ is included) and an arrow pointing to the right.

Step2: Analyze the second - inequality

The inequality $x < 6$ means that $x$ takes values less than $6$. On a number - line, this is represented by an open circle at $6$ (because $6$ is not included) and an arrow pointing to the left.

Step3: Combine the two inequalities

The compound inequality $x\geq0$ and $x < 6$ represents the values of $x$ that satisfy both inequalities simultaneously. So, it is the set of numbers from $0$ (inclusive) to $6$ (exclusive). On a number - line, there is a closed circle at $0$, an open circle at $6$, and a line segment connecting them.

Answer:

The graph with a closed circle at $0$, an open circle at $6$, and a line segment connecting them.