What steps would you do to solve n/7 + 3 ≥ -4?

Question

Multiply by seven, then subtract three.
Add three, then multiply by seven.
Subtract three, then multiply by seven.
Subtract three, then divide by seven.

Answer 1

To solve the inequality \( \frac{n}{7} + 3 \geq -4 \), follow these steps:

1. Subtract 3 from both sides to isolate the term with \( n \): \[ \frac{n}{7} \geq -4 - 3 \] \[ \frac{n}{7} \geq -7 \]

2. Multiply both sides by 7 to eliminate the fraction. Since 7 is a positive number, the inequality direction remains the same: \[ n \geq -7 \times 7 \] \[ n \geq -49 \]

So, the correct steps are to subtract 3, then multiply by 7. Therefore, the answer is:

Subtract three, then multiply by seven.