4) \( -4(-4+x)>56 \)

To solve the inequality \( -4(-4+x)>56 \), start by simplifying the left side. Distributing the -4 gives us \( 16 - 4x > 56 \). Next, subtract 16 from both sides: \( -4x > 40 \). Finally, divide both sides by -4 (remembering to flip the inequality sign): \( x < -10 \). So, the solution is \( x < -10 \). It’s like solving a puzzle where you're trying to figure out where the pieces fit. Remember, inequalities are all about finding ranges and making sure that your signs stay in check!