Question
Determine if the inequality is true if \( x=4 \) \[ x+13<41 \]
Ask by Thornton Rogers. in the United States
Feb 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
When \( x = 4 \), the inequality \( x + 13 < 41 \) is true.
Solution
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(x+13<41\)
- step1: Move the constant to the right side:
\(x<41-13\)
- step2: Subtract the numbers:
\(x<28\)
To determine if the inequality \( x + 13 < 41 \) is true when \( x = 4 \), we can substitute \( x \) with 4 in the inequality and check the result.
1. Substitute \( x = 4 \) into the inequality:
\[
4 + 13 < 41
\]
2. Calculate the left side:
\[
4 + 13 = 17
\]
3. Now, we compare:
\[
17 < 41
\]
Since 17 is indeed less than 41, the inequality is true when \( x = 4 \).
Thus, the answer is **true**.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
Let's substitute \( x = 4 \) into the inequality: \[ 4 + 13 < 41 \] This simplifies to: \[ 17 < 41 \] Since 17 is indeed less than 41, the inequality is true when \( x = 4 \).