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Translate from algebra to English: \( y-4>8 \). Select all that apply.

Ask by Marsh Bush. in the United States
Mar 08,2025

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Tutor-Verified Answer

Answer

\( y \) is greater than 12.

Solution

1. Start with the inequality: \[ y - 4 > 8 \] 2. Add \(4\) to both sides to isolate \(y\): \[ y > 8 + 4 \quad \Rightarrow \quad y > 12 \] 3. This inequality can be translated into English in the following ways: - "Subtracting \(4\) from \(y\) results in a number greater than \(8\)." - "\(y\) is greater than \(12\)."

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The Deep Dive

The expression \( y-4>8 \) can be described in several ways. First, it states that "y minus 4 is greater than 8." Another way to say it is, "when you subtract 4 from y, the result is more than 8." You could also express it as "y is more than 12," since when you solve the inequality, adding 4 to both sides gives you \( y > 12 \). All these interpretations convey the same mathematical relationship! This inequality is a great example of how algebra translates into real-life decisions. Imagine you’re budgeting; if you want to save more than $8 after spending $4, you'll need to ensure your total savings exceed $12. This type of logical thinking can be applied in countless scenarios, from finance to planning your homework schedule!

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