Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
r < 17
Solution
To solve the inequality 42 > 25 + r, follow these steps:
1. Subtract 25 from both sides to isolate r:
42 - 25 > r
2. Simplify the left side:
17 > r
3. Rewrite the inequality:
r < 17
Thus, the solution is r < 17.
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Simplify this solution Beyond the Answer
To solve the inequality \( 42 > 25 + r \), you want to isolate \( r \). Start by subtracting 25 from both sides: \( 42 - 25 > r \) or \( 17 > r \). This tells us that \( r \) must be less than 17, or you can express it as \( r < 17 \). Now, let's apply this in a real-world context! Imagine you're planning a surprise party and you can only invite a certain number of friends. If you can have 42 people in total and you've already got 25 confirmed guests, you can only invite a maximum of 16 more friends to keep the number under control. So remember, \( r < 17 \) means you have room for 16 more guests!
