Ax Solve. \( -36<3 x-6<-15 \) \( 4 \times \quad \) A \( -3

Ask by Tucker Tran. in the United States

Jan 23,2025

To solve the compound inequality \(-36 < 3x - 6 < -15\), we first split it into two parts: 1. \(-36 < 3x - 6\) 2. \(3x - 6 < -15\) For the first part: \(-36 + 6 < 3x\) gives us \(-30 < 3x\), so \(x > -10\). For the second part: \(3x < -15 + 6\) gives us \(3x < -9\), so \(x < -3\). Combining both results, we find \(-10 < x < -3\). So the answer is **D** \( -10 < x < -3 \). Now, let’s look into some fun facts about inequalities! Did you know that inequalities have a lot in common with balance scales? When you manipulate one side, you must pay attention to how it affects the other side to keep everything in balance! Another interesting note is that inequalities are quite common in real life! Whenever you set a budget for shopping or determine the range for something like the temperature, you’re using inequalities. Just imagine writing your shopping list with a range for each item—it can help keep your spending on track!