Question
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Answer
\( x > 0 \)
Solution
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(\frac{x}{1}+5>5\)
- step1: Divide the terms:
\(x+5>5\)
- step2: Cancel equal terms:
\(x>0\)
To solve the inequality \( \frac{x}{1} + 5 > 5 \), we can follow these steps:
1. **Simplify the inequality**: Since \( \frac{x}{1} \) is simply \( x \), we can rewrite the inequality as:
\[
x + 5 > 5
\]
2. **Isolate \( x \)**: To isolate \( x \), we subtract 5 from both sides:
\[
x > 5 - 5
\]
\[
x > 0
\]
Thus, the solution to the inequality is:
\[
x > 0
\]
This means that \( x \) can take any value greater than 0.
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Simplify this solution Bonus Knowledge
To solve the inequality \( \frac{x}{1}+5>5 \), start by simplifying it to \( x + 5 > 5 \). Subtract 5 from both sides to isolate \( x \), giving us \( x > 0 \). Hence, any value of \( x \) greater than zero will satisfy the inequality. Now, let’s apply this in the real world! Consider a scenario where you’re saving money. If you want to have more than $5 left after a shopping spree, you must plan to spend less than what you currently have (beyond just breaking even). For instance, if your starting balance is $10, you can spend up to $10 - $5 = $5 while still achieving your goal of having more than $5 remaining!
