Answer :
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]
