TITLE: Find intersection, union and difference of sets
QUESTION [1 upvotes]: Find $A\cup B, A\cap B, A\setminus B$ and $B\setminus A$ for the following sets: $A=\{x\in \Bbb R: -2x+5>0\}$ and $B=\{x\in \Bbb R: \frac{1}{x}< 1\}$
I'm not sure whether my solution is correct: 
$A=<-\infty, \frac{5}{2}>$, $B=<-\infty, 0>\cup <1,\infty>$
$A\cup B= \Bbb R$
$A\cap B=<-\infty, 0>\cup <1, \frac{5}{2}>$
$A\setminus B=[\,0,1]\,$
$B\setminus A=<\frac{5}{2}, \infty>$

REPLY [2 votes]: Solution is correct,
there's  only one mistake :
B/A =  [5/2, ∞>
{"set_name": "stack_exchange", "score": 1, "question_id": 1970622}