\( 6 m+8>-10 \) or \( 10 m+9<39 \) Solution Interval Notation \( \square \)

To solve the inequalities, let's break them down one at a time. For the first inequality \( 6m + 8 > -10 \): 1. Subtract 8 from both sides: \( 6m > -18 \) 2. Divide by 6: \( m > -3 \) For the second inequality \( 10m + 9 < 39 \): 1. Subtract 9 from both sides: \( 10m < 30 \) 2. Divide by 10: \( m < 3 \) Now we'll combine the results. Since the solution requires either condition to be satisfied, the solution will be \( m > -3 \) or \( m < 3 \). In interval notation, this is represented as: \[ (-3, \infty) \cup (-\infty, 3) \] So, the final solution in interval notation is: \[ (-\infty, 3) \cup (-3, \infty) \]