Question

-3n + 10 > 4

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \( n \), we subtract 10 from both sides of the inequality \( -3n + 10 > 4 \). This gives us \( -3n + 10 - 10 > 4 - 10 \), which simplifies to \( -3n > -6 \).

Step2: Divide by -3 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. So, we divide both sides of \( -3n > -6 \) by -3. This gives \( \frac{-3n}{-3} < \frac{-6}{-3} \) (note the reversed inequality), which simplifies to \( n < 2 \).

Answer:

\( n < 2 \)