为什么当我输出的时候a=101也能输出而不是输出else里面的内容

#include
using namespace std;
int main()
{
int a,b,c;
cin>>a>>b>>c;
if(0<=a<=100&&0<=b<=100&&0<=c<=100)
{
cout<<"score1="<<a<<",";
cout<<"score2="<<b<<",";
cout<<"score3="<<c;
}
else
cout<<"输入成绩错误";
}

当a=101时，0<=a<=100先判断0<=a为真，结果为1，然后1<100为真，所以0<=a<=100恒为1。
正确的写法是a>=0&&a<=100，要分开判断