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 113801 by Study last updated on 15/Sep/20

what is the number that is evenly   divisible by 3 and 6 and but not divisible  by 2?

$${what}\:{is}\:{the}\:{number}\:{that}\:{is}\:{evenly}\: \\ $$$${divisible}\:{by}\:\mathrm{3}\:{and}\:\mathrm{6}\:{and}\:{but}\:{not}\:{divisible} \\ $$$${by}\:\mathrm{2}? \\ $$

Commented by MJS_new last updated on 15/Sep/20

6∣x ⇒ 3∣x ∧ 2∣x  3∣x ∧ 2∤x ⇒ 6∤x

$$\mathrm{6}\mid{x}\:\Rightarrow\:\mathrm{3}\mid{x}\:\wedge\:\mathrm{2}\mid{x} \\ $$$$\mathrm{3}\mid{x}\:\wedge\:\mathrm{2}\nmid{x}\:\Rightarrow\:\mathrm{6}\nmid{x} \\ $$

Commented by Study last updated on 15/Sep/20

what means it?

$${what}\:{means}\:{it}? \\ $$

Commented by JDamian last updated on 15/Sep/20

if the number is divisible by 6, then it is  divisible by 2(even).  You are asking for a number divisible by 6  and not even. You′ll find none.

$${if}\:{the}\:{number}\:{is}\:{divisible}\:{by}\:\mathrm{6},\:{then}\:{it}\:{is} \\ $$$${divisible}\:{by}\:\mathrm{2}\left({even}\right). \\ $$$${You}\:{are}\:{asking}\:{for}\:{a}\:{number}\:{divisible}\:{by}\:\mathrm{6} \\ $$$${and}\:{not}\:{even}.\:{You}'{ll}\:{find}\:{none}. \\ $$$$ \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com