QuestionSolve the inequality: $3u - 5 < 7$ or $4u + 3 \leq -17$. Provide the solution in interval notation or $\varnothing$.

Studdy Solution
Since the original problem is an "or" problem, we take the union of the two intervals.The solution to the compound inequality is $(-\infty, -5] \cup (-\infty,4)$.
However, since $(-\infty, -5]$ is a subset of $(-\infty,4)$, we can simplify the solution to $(-\infty,4)$.
So, the solution to the compound inequality in interval notation is $(-\infty,4)$.