Question

Five friends have access to a chat room. Is it possible to determine who is chattingif the following information is known? Either Kevin or Heather, or both, are chatting. Either Randyor Vijay, but not both, are chatting. If Abby is chatting, so is Randy. Vijay and Kevin are either bothchatting or neither is. If Heather is chatting, then so are Abby and Kevin. Explain your reasoning

Answer 1

Answer:

Most likely somebody using multiple accounts!

Step-by-step explanation:

If Heather is chatting, then so are Abby and Kevin. Isn't that suspicious or did they plan this?

If Abby is chatting, so is Randy. Vijay and Kevin Also Suspicious

Answer 2

Answer:

Kevin and Vijay are chatting

Step-by-step explanation:

Consider: Kevin=k

Heather=h

Randyor=v

Vijay=v

Abby=a

The values or the variables can be =o if they are not chatting and =1 if they arre chatting, then:

k+h>=1

v+r=1

a=r

v=k

if h=1 then a=1 and k=1, then as a=r, r=1 and as v=k, v=1, but then v+r=2, which is not possible because v+r=, then we can fisrt conclude than h=0.

.As k+h>=1, and h=0, then k=1. As k=v, then v=1.  

As v+r=1, and v=1, then r=0. As r=a, a=0

So in conclusion, a=0, r=0, v=1, k=1 and h=0, so Kevin and Vijay are chatting