Question

graph the set of numbers given in interval notation. then write the inequality statement in x describing the numbers graphed. (-∞, -1) choose the correct graph below. a. b. c. d. write the inequality statement in x describing the numbers graphed

Explanation:

Step1: Understand interval notation

The interval notation \((-\infty, - 1)\) represents all real - numbers less than \(-1\). On a number line, we use an open - circle at \(-1\) (because \(-1\) is not included in the set) and an arrow pointing to the left towards negative infinity.

Step2: Analyze the graphs

In a number - line graph for the set \((-\infty, - 1)\), the open - circle is placed at \(-1\) and the arrow goes to the left. Among the given graphs, the correct one will have an open - circle at \(-1\) and an arrow pointing left.

Step3: Write the inequality

If we let \(x\) be a real number, the inequality corresponding to the interval \((-\infty, - 1)\) is \(x<-1\).

Answer:

The correct graph is the one with an open - circle at \(-1\) and an arrow pointing to the left. The inequality statement is \(x < - 1\). Without seeing the exact details of graphs A, B, C, and D, we can't specify which lettered graph is correct, but the description of the correct graph is as above and the inequality is \(x < - 1\).