\( 1 \leftarrow \begin{array}{l}\text { Solve the inequality. Give the solution of } 2 \\ -4(x-4)>3 x-5\end{array} \)

To solve the inequality \(-4(x-4) > 3x - 5\), first distribute the \(-4\) on the left side: \(-4x + 16 > 3x - 5\) Next, add \(4x\) to both sides: \(16 > 7x - 5\) Then, add \(5\) to both sides: \(21 > 7x\) Now, divide both sides by \(7\): \(3 > x\) This can also be written as \(x < 3\). Therefore, the solution to the inequality is \(x < 3\). Now you've got all you need to know – let’s make it a bit more entertaining! 🎉 Did you know inequalities are like a balance game? Imagine you're at a party, and you want to keep the number of guests under control. The inequality helps you figure out how many friends you can invite without going over the limit. Keeping \(x < 3\) means you have room for 2 fabulous friends and no more chaos! Just like in a good party, too many can overcrowd your living room! Remember, keep it fun and manageable! 🎈