Question

which of the following graphs corresponds to the following set? {x | x ≤ 1} question help: message instructor

Explanation:

Step1: Analyze the inequality

The set $\{x|x\leq1\}$ includes all real - numbers $x$ that are less than or equal to 1.

Step2: Determine the graph representation

On a number line, a closed - circle is used to represent $\leq$ or $\geq$ (inclusion of the endpoint), and an open - circle is used for $<$ or $>$. The values less than or equal to 1 are to the left of 1 on the number line, with 1 included. So, there should be a closed - circle at 1 and an arrow pointing to the left.

Answer:

The fourth graph (the one with a closed - circle at 1 and an arrow pointing to the left).