Question

3(5x + 7) greater than or equal to 81
show your work

Answer 1

To solve the inequality \(3(5x + 7) \geq 81\), follow these steps:

1. **Distribute the 3**:
\[
3 \cdot 5x + 3 \cdot 7 \geq 81
\]
This simplifies to:
\[
15x + 21 \geq 81
\]

2. **Subtract 21 from both sides**:
\[
15x + 21 - 21 \geq 81 - 21
\]
This simplifies to:
\[
15x \geq 60
\]

3. **Divide both sides by 15**:
\[
x \geq \frac{60}{15}
\]
This simplifies to:
\[
x \geq 4
\]

Thus, the solution to the inequality \(3(5x + 7) \geq 81\) is:
\[
\boxed{x \geq 4}
\]