Question
one third left parenthesis x plus 6 right parenthesis less than or equals 5
Answers
GPT-4o mini
To solve the inequality \(\frac{1}{3}(x + 6) \leq 5\), we can follow these steps:
1. **Eliminate the fraction** by multiplying both sides of the inequality by 3:
\[
x + 6 \leq 15
\]
2. **Isolate \(x\)** by subtracting 6 from both sides:
\[
x \leq 15 - 6
\]
\[
x \leq 9
\]
So the solution to the inequality is:
\[
x \leq 9
\]
This means that \(x\) can take any value less than or equal to 9.
1. **Eliminate the fraction** by multiplying both sides of the inequality by 3:
\[
x + 6 \leq 15
\]
2. **Isolate \(x\)** by subtracting 6 from both sides:
\[
x \leq 15 - 6
\]
\[
x \leq 9
\]
So the solution to the inequality is:
\[
x \leq 9
\]
This means that \(x\) can take any value less than or equal to 9.