Final answer:
The inequality 3/x + 2 + 4 > 3 can be simplified and solved to find the solution. The graph of the solution will have an open circle on -1. The statement is True.
Step-by-step explanation:
The inequality 3/x + 2 + 4 > 3 can be simplified as 3/x + 6 > 3. To find the solution, we first subtract 6 from both sides to isolate the variable: 3/x > -3. Next, we multiply both sides by x in order to get rid of the fraction: 3 > -3x. Finally, we divide both sides by -3, remembering to reverse the inequality sign since we are dividing by a negative number: -1 < x. The solution to the inequality is x > -1.
The graph of the solution will have an open circle on -1, indicating that -1 is not included in the solution. Therefore, the statement is True.