Questions: Write the given inequality using interval notation, and illustrate the inequality using the real number line. x < -2 Use interval notation to express the inequality. What is the resulting interval? Choose the graph that illustrates the inequality on the real number line. A. B. C. D.

Write the given inequality using interval notation, and illustrate the inequality using the real number line.

x < -2

Use interval notation to express the inequality. What is the resulting interval?

Choose the graph that illustrates the inequality on the real number line. A. B. C. D.

Transcript text: point(S) possible Write the given inequality using interval notation, and illustrate the inequality using the real number line. \[ x<-2 \] Use interval notation to express the inequality. What is the resulting interval? $\square$ Choose the graph that illustrates the inequality on the real number line. A. B. C. D.

Solution

Solution Steps

Step 1: Express the inequality in interval notation.

The inequality $x < -2$ represents all real numbers less than -2. In interval notation, this is written as $(-\infty, -2)$.

Step 2: Identify the correct number line graph.

Since $x$ is strictly less than $-2$, the graph should have an open circle or parenthesis at $-2$ and extend towards negative infinity. This corresponds to graph A.

Final Answer

Interval notation: $\boxed{(-\infty, -2)}$

Graph: $\boxed{A}$

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