Question

solve for m.
10 + 7m < 3

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \( m \), we subtract 10 from both sides of the inequality \( 10 + 7m < 3 \). This gives us \( 10 + 7m - 10 < 3 - 10 \), which simplifies to \( 7m < -7 \).

Step2: Divide both sides by 7

To solve for \( m \), we divide both sides of the inequality \( 7m < -7 \) by 7. Since 7 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{7m}{7} < \frac{-7}{7} \), which simplifies to \( m < -1 \).

Answer:

\( m < -1 \)