Consider the following list
```
list={0 < x < 1/12, 0 < x < 1/4}
```
I wish to find the intersection of the two ranges of `x` and check if the result is an element of the above list, i.e.
```
In:=Simplify[And @@ list]
out:=0<x<1/12
```
Now I want to check if the above range of `x` belongs to the `list`.
```
in:=MemberQ[list, Simplify[And @@ list]]
out:= False
```
But It is clear that such a range is an element of `list`. This is not giving the expected result because the Heads are not matching.
```
in:=FullForm[Simplify[And @@ list]]
out:=Inequality[0,Less,x,Less,Rational[1,12]]
```
Whereas,
```
in:=FullForm[0 < x < 1/12]
out:=Less[0,x,Rational[1,12]]
```
How to resolve this?