Combining Sets A and B Using If-Then Clause: AUB with C1 and C2

[porums]

Set A={1,2,3} B={5,6,7}
an if clause is created,
if C1
___then
_______if C2 then
_________AUB
else
___AUB

Someone could please help me simplify the if-then-else in one if-then clause ? :LOL:
Thanks

 

[CompuChip]

First, you'd have to tell us whether you mean

if C1 then {
    if C2 then {
        AUB
    }
} else {
    AUB 
}

which is implied by your spacing, or

if C1 then {
    if C2 then {
        AUB
    } else {
        AUB 
    }
}

which is what any C++ like compiler would execute given your (pseudo)code.

It's really not too hard to see, but if you can't figure it out by looking at the expression, you might want to make a "truth table":

        | C1 false  | C1 false | ...
        |  C2 false | C2 true  | ...
------------------------------------
  do:   |  nothing  |  AUB     | ...

and try to find a simpler expression involving C1 and C2 which gives the same result.