Question

the solution to an inequality is graphed on the number line.
what is another way to represent this solution set?
○ {x|x < 4.5}
○ {x|x ≤ 4.5}
○ {x|x > 4.5}
○ {x|x ≥ 4.5}

Explanation:

Step1: Analyze the number line

The number line has a closed dot at 4.5, meaning 4.5 is included in the solution set. The arrow points left, representing values less than or equal to 4.5.

Step2: Match to set notation

Set notation for "all x such that x is less than or equal to 4.5" is $\{x | x \leq 4.5\}$.

Answer:

B. $\{x | x \leq 4.5\}$