Question
solve the one variable inequality 3/5 x > 9
Answers
Answered by
GPT-4o mini
To solve the inequality \( \frac{3}{5} x > 9 \), follow these steps:
1. **Isolate \( x \)** by multiplying both sides by \( \frac{5}{3} \). This step eliminates the fraction. Since \( \frac{5}{3} \) is positive, the direction of the inequality remains the same:
\[
x > 9 \cdot \frac{5}{3}
\]
2. **Calculate the right side**:
\[
9 \cdot \frac{5}{3} = \frac{45}{3} = 15
\]
3. **Write the solution**:
\[
x > 15
\]
Thus, the solution to the inequality \( \frac{3}{5} x > 9 \) is \( x > 15 \).
1. **Isolate \( x \)** by multiplying both sides by \( \frac{5}{3} \). This step eliminates the fraction. Since \( \frac{5}{3} \) is positive, the direction of the inequality remains the same:
\[
x > 9 \cdot \frac{5}{3}
\]
2. **Calculate the right side**:
\[
9 \cdot \frac{5}{3} = \frac{45}{3} = 15
\]
3. **Write the solution**:
\[
x > 15
\]
Thus, the solution to the inequality \( \frac{3}{5} x > 9 \) is \( x > 15 \).
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