I have been trying to look through my ti-34 multiview calculator manual, but I can’t find a way to write inequalities like 4(x + 1) ≥ all i need is to be able to write ≥ this symbol but i cant. Is there a way to do this?

Not sure about the TI-34, but you can always graph the line, such as y = 4(x+1)

Then, if the inequality is y ≥ 4(x+1) the solution set is everything above the line, including the line. (that is, where y is greater than 4(x+1))