\( - 4 x + 5 > 3 - 4 x . \)

In this inequality, \( - 4 x + 5 > 3 - 4 x \), you can see that the terms involving \( x \) on both sides are identical. This means that the \( -4x \) terms effectively cancel out when rearranging the inequality. What remains is \( 5 > 3 \), which is always true! This implies that the original inequality holds for all values of \( x \). So, you can confidently say that any \( x \) works here! For a fun tidbit: inequalities can sometimes have surprising outcomes! In certain cases, you'll find that simplifying leads to a universal truth, which means the solution isn’t just a specific number but an entire infinite range. In this case, play with any number you fancy—\( x = 1 \), \( x = 100 \), or even \( x = -999 \)—and you'll always find that it upholds the inequality!