Question
* \( 7 .-x+15>0 \) (77) Analyze Solve. If there
Ask by Clarke Turnbull. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x < 22 \)
Solution
Solve the equation \( 7 - x + 15 > 0 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(7-x+15>0\)
- step1: Add the numbers:
\(22-x>0\)
- step2: Move the constant to the right side:
\(-x>0-22\)
- step3: Remove 0:
\(-x>-22\)
- step4: Change the signs:
\(x<22\)
The solution to the inequality \(7 - x + 15 > 0\) is \(x < 22\).
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Simplify this solution Extra Insights
To solve the inequality \( 7 - x + 15 > 0 \), first combine like terms: \( 22 - x > 0 \). Then, rearrange it to isolate \( x \): \( 22 > x \) or \( x < 22 \). This means that any value of \( x \) less than 22 will satisfy the inequality! How does this help in real life? Imagine you’re planning a movie night with friends, and you have a certain budget (let's say $22). You can only spend less than that amount on snacks! This inequality tells you to keep your snack spending below $22 to stay within budget—who knew math could help you save money on popcorn?
