Given-a-b-R-Show-that-a-b-a-b-a-b-1- Tinku Tara June 4, 2023 None 0 Comments FacebookTweetPin Question Number 164623 by mathocean1 last updated on 19/Jan/22 Givena,b∈R.Showthat:[a]+[b]⩽[a+b]⩽[a]+[b]+1 Answered by mahdipoor last updated on 19/Jan/22 [b]⩽b<[b]+1⇒a+[b]⩽a+b<a+[b]+1⇒[a+[b]]⩽[a+b]⩽[a+[b]+1]⇒[a]+[b]⩽[a+b]⩽[a]+[b]+1 Commented by mathocean1 last updated on 19/Jan/22 thanks Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Show-that-a-b-R-1-x-y-x-y-2-1-xy-1-1-x-1-1-y-1-Next Next post: 9-9-9-9-1-3-1-3-1-3-1-3-8-8-8-8- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.
![Given a, b ∈ R. Show that : [a]+[b]≤[a+b]≤[a]+[b]+1](https://www.tinkutara.com/question/Q164623.png)
![[b]≤b<[b]+1⇒a+[b]≤a+b<a+[b]+1⇒ [a+[b]]≤[a+b]≤[a+[b]+1]⇒ [a]+[b]≤[a+b]≤[a]+[b]+1](https://www.tinkutara.com/question/Q164631.png)
