First you have to solve both inequalities,
3x-1>8
3x>9
x>3
and the other one
2x≤4
x≤2
then you graph each one on the number line
the graph says or, so the solution can satisfy either equation
the solution would be all real numbers except three
the way to write it is x≠3
The U and inverted U symbols, ∪ and ∩, are mathematical symbols used to denote union or intersection, respectively. For example, when a rational algebraic equation is graphed, there may be some points where the equation is undefined. Visually, we see it as breaks or discontinuities. We use the ∪ symbol to express union. For example, {-∞,2)∪(4,+∞). That means that the graph passes at all x values except x=3.
The ∩ symbol is used for intersection of two lines, for instance. When equation A and equation B are graphed, they can intersect at points (x,y). It is therefore expressed as: A∩B = (x,y).