QuestionSolve the compound inequality $x+1>5$ or $-4x+1 \geq 5$ and express the solution in interval and graph form.

Studdy Solution
To graph the solution, draw a number line and mark the points $-$ and $4$. Since $x \leq -$, we shade the portion of the number line to the left of $-$ and include $-$ (denoted by a filled circle). Since $x >4$, we shade the portion of the number line to the right of $4$ and do not include $4$ (denoted by an open circle).
The solution set in interval notation is $(-\infty, -] \cup (4, \infty)$ and the graph is a number line with the portions to the left of $-$ (inclusive) and to the right of $4$ (exclusive) shaded.