ISI Maths

Question

A subset W of the set of all real numbers is called a ring if the following two conditions are satisfied:

1. 1 in W and
2. if a,b $\in$ W then a-b $\in$ W and ab $\in$ W

Let $S=\frac{m}{2^o} \mid$ m and n are integers}

• A. neither S nor T is a ring
• B. S is a ring and T is not
• C. T is a ring and S is not
• D. both S and T are rings

Answer 1

Both Sand T are positive.