\( -10 n<-50 \) or \( n+4 \leq 2 \)

To solve the first inequality \( -10n < -50 \), you would divide both sides by -10, which flips the inequality sign to get \( n > 5 \). For the second inequality \( n + 4 \leq 2 \), subtracting 4 from both sides gives \( n \leq -2 \). So your final solution is \( n > 5 \) or \( n \leq -2 \), meaning n can be any number greater than 5 or less than or equal to -2! If you want to illustrate this solution visually, consider drawing a number line. Mark the point 5 with an open circle (because it's greater than, not equal) and shade all numbers greater than that. Then mark -2 with a filled circle (indicating it is included) and shade all numbers less than that. This way, you create a clear picture of all possible values for \( n \)!