QuestionWhich inequality represents the following interval? $(-\infty, 5]$

Studdy Solution

STEP 1

1. The interval notation $(- \infty, 5]$ represents all real numbers less than or equal to 5.
2. We need to convert this interval notation into an inequality.

STEP 2

1. Understand the components of the interval notation.
2. Translate the interval into an inequality.

STEP 3

The interval $(- \infty, 5]$ includes all numbers from negative infinity up to and including 5.

STEP 4

The interval $(- \infty, 5]$ can be expressed as an inequality where $x$ is any real number such that $x \leq 5$ .
The inequality that represents the interval $(- \infty, 5]$ is:
$x \leq 5$

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