Pregunta
Express the set \( x>-4 \) using interval notation. \( \begin{array}{l}(-4, \infty) \mid \\ \text { Basic } \\ \text { Interval } \\ \text { DNE }\end{array} \)
Ask by Martin John. in the United States
Jan 30,2025
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Respuesta verificada por el tutor
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The set \( x > -4 \) is written as \((-4, \infty)\) in interval notation.
Solución
The set \( x > -4 \) can be expressed in interval notation as:
\[
(-4, \infty)
\]
**Explanation:**
- The parenthesis \( ( \) and \( ) \) indicate that -4 is **not** included in the set.
- \( \infty \) symbolizes that the values extend indefinitely in the positive direction.
So, \((-4, \infty)\) represents all real numbers greater than -4.
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Simplifique esta solución Mind Expander
The set \( x > -4 \) in interval notation is expressed as \( (-4, \infty) \). This means that \( x \) can take any value greater than -4, extending infinitely to the right on the number line. Remember, the parenthesis indicates that -4 is not included in the set! To make sure you're clear, the interval notation is a concise way to describe ranges of numbers, and this specific case emphasizes that all numbers greater than -4 are valid, while -4 itself is excluded. It's a neat shorthand that keeps things tidy!
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