$0\gt x\geq 3$ Please see image
Work Step by Step
$3x-1 \lt -1$ or $ 2x+5\geq 11\qquad$ ...solve each inequality separately. $3x-1 \lt -1 \qquad$ ...add $1$ to each side of the inequality. $ 3x-1+1 \lt -1+1\qquad$ ...simplify. $ 3x \lt 0\qquad$ ...divide with $3$. $x \lt 0$ $ 2x+5\geq 11\qquad$ ...add $-5$ to each side of the inequality. $ 2x+5-5\geq 11-5\qquad$ ...simplify. $ 2x\geq 6\qquad$ ...divide with $2$. $x\geq 3$ The solutions are all real numbers that are less than $0$ and greater or equal to $3$. Use an open dot in the graph to indicate $0$ is not a part of the solution and a solid dot to indicate that $3$ is a solution.