x>−3𝑥>−3Step 2 of 2 :  What type of interval does the following inequality represent?

Break Down the Problem

1. We are given the inequality $x > -3$.
2. We need to determine the type of interval that this inequality represents.

Relevant Concepts

• Inequalities can be expressed in interval notation.
• An inequality of the form $x > a$ represents all values of $x$ that are greater than $a$.

Analysis and Detail

1. The inequality $x > -3$ includes all real numbers greater than $-3$.
2. In interval notation, this is expressed as: $(-3, \infty)$ Here, $-3$ is not included in the interval (indicated by the parenthesis), and it extends infinitely in the positive direction.

Verify and Summarize

• The interpretation of $x > -3$ confirms that all values starting just after $-3$ and moving towards positive infinity are included in this interval.

Final Answer

The inequality $x > -3$ represents the interval $(-3, \infty)$.