\( -40>25-5 x \) or \( 2 x+4 \leq 29 \)

To solve the inequality \( -40 > 25 - 5x \), start by isolating \( x \). Subtract 25 from both sides to get \( -65 > -5x \). Dividing both sides by -5 (and flipping the inequality) gives you \( x > 13 \). For the second inequality \( 2x + 4 \leq 29 \), subtract 4 from both sides to find \( 2x \leq 25 \). Dividing by 2 results in \( x \leq 12.5 \). Combining both results, the solution is \( x > 13 \) or \( x \leq 12.5 \). Now, here’s a fun tidbit: both inequalities represent different ranges of values for \( x \) and can be visualized on a number line, revealing how they interact. If you keep finding inequalities confusing, remember the good ol’ “flip the sign” rule when multiplying or dividing by a negative number—it's like the inequality is doing a little dance!