For each inequality, choose the statement that describes its solution. If applicable, give the solution. (a) \( 4(6-u)+4 u<23 \) No solution u< \( u>\square \) All real numbers are solutions

To solve the inequality \( 4(6-u)+4u<23 \), we start by simplifying it: \( 24 - 4u + 4u < 23 \), which simplifies to \( 24 < 23 \). This statement is false, so there are no values of \( u \) that can satisfy this inequality. Thus, the solution is that there is no solution. When faced with inequalities, it’s essential to manipulate them carefully while keeping track of the operations. A common mistake is neglecting to distribute or combine like terms correctly, which can lead to erroneous conclusions. Always double-check your steps!