Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To solve the inequality:
[tex]\[ \frac{x}{2} + 6 > 42 \][/tex]
The goal is to isolate the variable [tex]\( x \)[/tex]. Here’s a detailed step-by-step solution:
1. Identify the inequality:
[tex]\[ \frac{x}{2} + 6 > 42 \][/tex]
2. Move the constant term: We need to isolate the term containing [tex]\( x \)[/tex]. To do this, we should first remove the constant term on the left side of the inequality.
The constant term here is [tex]\( +6 \)[/tex]. To eliminate this, we subtract 6 from both sides of the inequality. This step simplifies the expression.
3. Apply the operation:
[tex]\[ \frac{x}{2} + 6 - 6 > 42 - 6 \][/tex]
4. Simplify the inequality:
[tex]\[ \frac{x}{2} > 36 \][/tex]
By subtracting 6 from both sides of the inequality, we've successfully simplified it to [tex]\(\frac{x}{2} > 36\)[/tex].
So, the first step Kendall should take to solve this inequality is:
[tex]\[ \boxed{\text{Subtract 6 from both sides of the inequality}} \][/tex]
[tex]\[ \frac{x}{2} + 6 > 42 \][/tex]
The goal is to isolate the variable [tex]\( x \)[/tex]. Here’s a detailed step-by-step solution:
1. Identify the inequality:
[tex]\[ \frac{x}{2} + 6 > 42 \][/tex]
2. Move the constant term: We need to isolate the term containing [tex]\( x \)[/tex]. To do this, we should first remove the constant term on the left side of the inequality.
The constant term here is [tex]\( +6 \)[/tex]. To eliminate this, we subtract 6 from both sides of the inequality. This step simplifies the expression.
3. Apply the operation:
[tex]\[ \frac{x}{2} + 6 - 6 > 42 - 6 \][/tex]
4. Simplify the inequality:
[tex]\[ \frac{x}{2} > 36 \][/tex]
By subtracting 6 from both sides of the inequality, we've successfully simplified it to [tex]\(\frac{x}{2} > 36\)[/tex].
So, the first step Kendall should take to solve this inequality is:
[tex]\[ \boxed{\text{Subtract 6 from both sides of the inequality}} \][/tex]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.