14) \( 7 m+2<9 m+1 \)

To solve the inequality \( 7m + 2 < 9m + 1 \), you first want to get all the terms involving \( m \) on one side and the constant terms on the other. Start by subtracting \( 7m \) from both sides: \[ 2 < 2m + 1 \] Next, subtract 1 from both sides: \[ 1 < 2m \] Now divide both sides by 2: \[ \frac{1}{2} < m \] Or, you could flip it around for clarity: \[ m > \frac{1}{2} \] And there you have it: the solution to the inequality is \( m > \frac{1}{2} \)!