Question and Answers Forum

All Questions      Topic List

Arithmetic Questions

Previous in All Question      Next in All Question      

Previous in Arithmetic      Next in Arithmetic      

Question Number 158976 by physicstutes last updated on 11/Nov/21

Answered by Rasheed.Sindhi last updated on 11/Nov/21

$$A=\{0,1,2,...,11\};$$$$R=\{(x,y)\in A\times A:-x+2y=9\}$$$$-x+2y=9\Rightarrow y=\frac{9+x}{2}$$$$y\in \mathbb{W}\Rightarrow x\in \mathbb{O}$$$$\left(b\right)$$$$Dom\left(A\right)=\{1,3,5,7,9,11\}$$$$Range\left(A\right)$$$$=\{\frac{9+1}{2},\frac{9+3}{2},\frac{9+5}{2},\frac{9+7}{2},\frac{9+9}{2},\frac{9+11}{2}\}$$$$=\{5,6,7,8,9,10\}$$$$Dom\left(A\right)\cap Range\left(A\right)=\{5,7,9\}$$$$\left(a\right)R=\{(1,5),(3,6),(5,7),(7,8),(9,9),(11,10)\}$$$$\left(d\right)\left(i\right)Risnotreflexive,$$$$\because (1,1)\in R$$$$\left(ii\right)Risnotsymmetric$$$$\because (1,5)\in Rbut(5,1)\notin R$$$$\left(iii\right)Risnottransitive$$$$(1,5),(5,7)\in Rbut(1,7)\notin R$$$$\left(c\right)$$$$$$

Commented by physicstutes last updated on 14/Nov/21

$$\mathrm{thanks}\mathrm{so}\mathrm{much}\mathrm{sir}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com