Input your inequality answers in the following format. Do not use spaces and do not input units. if your solution is x > 4 input solution as x>4 if your solution is x <= 3 input solution as x<=3 8 If x is the length of one side of a square, then find values of x in meters for which the area of the square is less than 64 square meters. Answer:
Input your inequality answers in the following format. Do not use spaces and do not input units. if your solution is x > 4 input solution as x>4 if your solution is x <= 3 input solution as x<=3 8 If x is the length of one side of a square, then find values of x in meters for which the area of the square is less than 64 square meters. Answer:
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Solving Inequalities for Squares
**Instructions:**
Input your inequality answers in the following format. Do not use spaces and do not input units.
- If your solution is \( x > 4 \), input the solution as \( x>4 \)
- If your solution is \( x \leq 3 \), input the solution as \( x<=3 \)
**Problem:**
If \( x \) is the length of one side of a square, then find values of \( x \) in meters for which the area of the square is less than 64 square meters.
**Solution:**
1. **Determine the area of the square:** The area \( A \) of a square with side length \( x \) is given by the formula \( A = x^2 \).
2. **Set up the inequality:** Since the area must be less than 64 square meters, we set up the inequality:
\[
x^2 < 64
\]
3. **Solve the inequality:**
\[
x < 8 \quad \text{(taking the positive square root)}
\]
Therefore, the length \( x \) of one side of the square must satisfy \( x < 8 \).
**Answer in required format:**
\[ x<8 \]
Please enter your answer in the provided input field and then proceed to the next page.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbdbdb0e-ffa7-4a7f-a16d-cbd5f72e5119%2F55e9d4df-81b1-4833-b420-1ad33c851061%2F6ddfs13_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Inequalities for Squares
**Instructions:**
Input your inequality answers in the following format. Do not use spaces and do not input units.
- If your solution is \( x > 4 \), input the solution as \( x>4 \)
- If your solution is \( x \leq 3 \), input the solution as \( x<=3 \)
**Problem:**
If \( x \) is the length of one side of a square, then find values of \( x \) in meters for which the area of the square is less than 64 square meters.
**Solution:**
1. **Determine the area of the square:** The area \( A \) of a square with side length \( x \) is given by the formula \( A = x^2 \).
2. **Set up the inequality:** Since the area must be less than 64 square meters, we set up the inequality:
\[
x^2 < 64
\]
3. **Solve the inequality:**
\[
x < 8 \quad \text{(taking the positive square root)}
\]
Therefore, the length \( x \) of one side of the square must satisfy \( x < 8 \).
**Answer in required format:**
\[ x<8 \]
Please enter your answer in the provided input field and then proceed to the next page.
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