Question
Solve the following inequality.
5
x
−
7
≤
7
5x−7 ≤7
x
x
Answers
GPT-4o mini
To solve the inequality \( 5x - 7 \leq 7 \), follow these steps:
1. **Isolate the term with \( x \):**
Add 7 to both sides:
\[
5x - 7 + 7 \leq 7 + 7
\]
This simplifies to:
\[
5x \leq 14
\]
2. **Divide by 5:**
Divide both sides by 5:
\[
x \leq \frac{14}{5}
\]
3. **Conclusion:**
The solution to the inequality is:
\[
x \leq \frac{14}{5}
\]
Alternatively, this can be written as:
\[
x \leq 2.8
\]
Thus, the final answer is \( x \leq \frac{14}{5} \) or \( x \leq 2.8 \).
1. **Isolate the term with \( x \):**
Add 7 to both sides:
\[
5x - 7 + 7 \leq 7 + 7
\]
This simplifies to:
\[
5x \leq 14
\]
2. **Divide by 5:**
Divide both sides by 5:
\[
x \leq \frac{14}{5}
\]
3. **Conclusion:**
The solution to the inequality is:
\[
x \leq \frac{14}{5}
\]
Alternatively, this can be written as:
\[
x \leq 2.8
\]
Thus, the final answer is \( x \leq \frac{14}{5} \) or \( x \leq 2.8 \).