Question
You just wrote an inequality to represent the situation. Now solve the associated equation, 74 + 4x = 200, to find the boundary for the inequality. Show your work or solve on paper.
74 + 4x > 200
74+4x
=
200
x
=
74 + 4x > 200
74+4x
=
200
x
=
Answers
GPT-4o mini
To solve the equation \( 74 + 4x = 200 \) for \( x \), we can follow these steps:
1. **Subtract 74 from both sides** to isolate the term with \( x \):
\[
4x = 200 - 74
\]
\[
4x = 126
\]
2. **Divide both sides by 4** to solve for \( x \):
\[
x = \frac{126}{4}
\]
\[
x = 31.5
\]
So, the boundary for the inequality \( 74 + 4x > 200 \) is \( x = 31.5 \).
1. **Subtract 74 from both sides** to isolate the term with \( x \):
\[
4x = 200 - 74
\]
\[
4x = 126
\]
2. **Divide both sides by 4** to solve for \( x \):
\[
x = \frac{126}{4}
\]
\[
x = 31.5
\]
So, the boundary for the inequality \( 74 + 4x > 200 \) is \( x = 31.5 \).