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

Question

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: \[ \boxed{x \geq 4} \]