Question

solve the inequality 1/3b≤16/5
solve it step by step
a. b≤16/15
b. b≤48/5
c.b<48/5
d.b≥48/5

Answer 1

To solve the inequality \( \frac{1}{3}b \leq \frac{16}{5} \), we can follow these steps:

1. **Multiply both sides by 3** to eliminate the fraction. Since we are multiplying by a positive number, the direction of the inequality does not change:
\[
3 \cdot \frac{1}{3}b \leq 3 \cdot \frac{16}{5}
\]
This simplifies to:
\[
b \leq \frac{48}{5}
\]

2. **Write the final answer**:
The solution to the inequality is:
\[
b \leq \frac{48}{5}
\]

Based on the provided options, the correct answer is:
**b. \( b \leq \frac{48}{5} \)**.