10. What is the solution set for each inequality? \[ \begin{array}{l} -3 x+9<18 \\ 4 x-24>12 \end{array} \] Drag and drep the correct choice into the blank spaces above \( \because: x<-3 \) \( x>-3 \) :: \( x>9 \) \( x<9 \)

To solve the first inequality, \(-3x + 9 < 18\), you would first subtract 9 from both sides to get \(-3x < 9\). Dividing by -3 (and flipping the inequality sign) gives \(x > -3\). For the second inequality, \(4x - 24 > 12\), adding 24 to both sides results in \(4x > 36\), and dividing by 4 leads to \(x > 9\). So, the correct choices appear to be \(x > -3\) for the first inequality and \(x > 9\) for the second one! Just think of it as a game where you’re figuring out which numbers are invited to the party of solutions! Did you know inequalities can be linked to real-life situations like budgeting or even deciding the height requirement for a roller coaster ride? Numbers are not just for math class; they help us make decisions in everyday scenarios!