Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 140997 by loveineq last updated on 14/May/21

$$\mathrm{Let}a,b,c⩾0.\mathrm{Prove}\mathrm{that}$$$$\frac{1}{8}\cdot \frac{(2+a)(2+b)(2+c)}{(1+a)(1+b)(1+c)}⩾\frac{4-a-b-c}{4+a+b+c}$$$$$$

Commented by MJS_new last updated on 15/May/21

$$\mathrm{as}\mathrm{easy}\mathrm{as}\mathrm{the}\mathrm{last}\mathrm{one}$$$$\mathrm{all}\mathrm{denominators}\mathrm{are}>0\Rightarrow \mathrm{just}\mathrm{multiplicate}$$$$\mathrm{and}\mathrm{subtract}\mathrm{rhs}\mathrm{from}\mathrm{both}\mathrm{sides}\Rightarrow \mathrm{only}$$$$\mathrm{positive}\mathrm{terms}\mathrm{on}\mathrm{lhs}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com