Question
Solve the two-step inequality.(1 point)
34x−10≤2
x≤
34x−10≤2
x≤
Answers
GPT-4o mini
To solve the inequality \(34x - 10 \leq 2\), follow these steps:
1. **Add 10 to both sides**:
\[
34x - 10 + 10 \leq 2 + 10
\]
\[
34x \leq 12
\]
2. **Divide both sides by 34**:
\[
x \leq \frac{12}{34}
\]
Simplifying \(\frac{12}{34}\):
\[
x \leq \frac{6}{17}
\]
So the solution to the inequality is:
\[
x \leq \frac{6}{17}
\]
1. **Add 10 to both sides**:
\[
34x - 10 + 10 \leq 2 + 10
\]
\[
34x \leq 12
\]
2. **Divide both sides by 34**:
\[
x \leq \frac{12}{34}
\]
Simplifying \(\frac{12}{34}\):
\[
x \leq \frac{6}{17}
\]
So the solution to the inequality is:
\[
x \leq \frac{6}{17}
\]