Questions: Choose the correct graph or interval for the given inequality. x ≤ 8 Choose the correct answer below. A. (-∞, 8]

Choose the correct graph or interval for the given inequality. x ≤ 8 Choose the correct answer below. A. (-∞, 8]
Transcript text: Choose the correct graph or interval for the given inequality. \[ x \leq 8 \] Choose the correct answer below. A. $(-\infty, 8]$
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Solution

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Solution Steps

To solve the inequality \( x \leq 8 \), we need to determine the interval of values that satisfy this condition. The solution is the set of all real numbers less than or equal to 8. This can be represented as an interval in interval notation.

Step 1: Define the Inequality

We are given the inequality \( x \leq 8 \). This inequality represents all values of \( x \) that are less than or equal to 8.

Step 2: Determine the Interval

The solution to the inequality \( x \leq 8 \) is the interval of all real numbers from negative infinity up to and including 8. In interval notation, this is represented as \( (-\infty, 8] \).

Final Answer

\(\boxed{(-\infty, 8]}\)

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