Question

how do you graph the solution set of 2x-5<3?

Answer 1

you mean on a number line, right ?

Answer 2

2x - 5 < 3

these are solved pretty much like equations except for one simple rule about inequalities. When dividing/multiplying by a negative number, the inequality sign changes.

So we want to get 2x on one side by itself, and everything else on the other side.
2x - 5 < 3 --- add 5 to both sides
2x < 3 + 5
2x < 8 -- now divide by 2 to get x by itself
x < 8/2
x < 4

Now to graph on a number line...
if there is an equal sign, use a closed circle
if there is no equal sign, use an open circle
if it is (<) less then, shade to the left
if it is (>) greater then, shade to the right

Read up on this, and if you still can't graph it, tag me, and we will work on it together :)