"On the set of ℝ suppose operation * is defined by a * b = 1 + ab. Is * a binary operation?"


This question is confusing. I get to see addition right there, yet the variables a and b are multiplied. I don't know what operation the * stands for.

Guest Sep 9, 2018

your confusion comes from seeing * and thinking ordinary multiplication.


In this problem it's not.


think of * in this case as *(a,b) = 1 + ab where a and b are mutliplied using ordinary real multiplication


for example 2*5 = 1 + (2)(5) = 11


* takes two real arguments and returns a real result so yes it is a binary operator on the real numbers

Rom  Sep 9, 2018

8 Online Users


New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.