Answer
$(-∞,3)$
Work Step by Step
We are given that $x+3\leq1$ or $3x-1\lt8$. Therefore, a solution for x will only need to satisfy at least one of the inequalities.
First, we can solve $x+3\leq1$
Subtract 3 from both sides.
$x\leq-2$
Next, we can solve $3x-1\lt8$
Add 1 to both sides.
$3x\lt9$
Divide both sides by 3.
$x\lt3$
Any number that is less than or equal to -2 will also be less than 3. Therefore, the solution set is any number that is less than 3.
