Question

choose the inequality that represents the following graph.

<---(-5)---(-4)---(-3)---(-2)---(-1)---(0)---(1)---(2)---(3)---(4)---(5)--->

choose 1 answer:

a) $x < 0$

b) $x \leq 0$

c) $x > 0$

d) $x \geq 0$

Explanation:

Step1: Analyze the graph's dot

The dot at 0 is filled (closed), which means 0 is included in the solution set.

Step2: Analyze the graph's direction

The arrow points to the left (towards negative numbers), so the values are less than or equal to 0 (since 0 is included). So the inequality is \( x \leq 0 \).

Answer:

B. \( x \leq 0 \)