Question

choose the inequality that represents the following graph.
number line with a closed dot at 1 and arrow to the left
choose 1 answer:
a ( x < 1 )
b ( x leq 1 )
c ( x > 1 )
d ( x geq 1 )

Explanation:

Step1: Analyze the graph's dot

The dot at 1 is filled (closed), which means 1 is included in the solution set. So the inequality should have "≤" or "≥" instead of "<" or ">". Eliminate options A ($x < 1$) and C ($x > 1$).

Step2: Analyze the graph's direction

The arrow points to the left (towards negative numbers), which means the values of $x$ are less than or equal to 1. So the inequality is $x \leq 1$, which is option B.

Answer:

B. $x \leq 1$