Question Number 121136 by zakirullah last updated on 05/Nov/20
Commented by Ar Brandon last updated on 05/Nov/20
In this form, a relation R is represented by the set of all ordered pairs belonging to R. For example, R = {(1, a), (2, b), (3, a), (4, c)} is a relation from the set {1, 2, 3, 4} to the set {a, b, c}.
Answered by Ar Brandon last updated on 05/Nov/20
$$\mathrm{i}\backslash\:\mathrm{x}^{\mathrm{2}} =\mathrm{x}\:\Rightarrow\:\mathrm{x}^{\mathrm{2}} −\mathrm{x}=\mathrm{0},\:\mathrm{x}=\mathrm{0},\:\mathrm{x}=\mathrm{1} \\ $$$$\mathrm{B}=\left\{\left(\mathrm{0},\mathrm{0}\right),\:\left(\mathrm{1},\mathrm{1}\right)\right\} \\ $$
Answered by Ar Brandon last updated on 05/Nov/20
$$\mathrm{ii}\backslash\:\mathrm{C}=\left\{\left(\mathrm{1},\mathrm{p}\right)\right\} \\ $$
Commented by Ar Brandon last updated on 05/Nov/20
You're welcome bro
Commented by zakirullah last updated on 05/Nov/20
![sir please write i. [5,25,125,625] in set-builder form ii.[2,4,6,8,10]](Q121143.png)
$${sir}\:{please}\:{write}\:{i}.\:\left[\mathrm{5},\mathrm{25},\mathrm{125},\mathrm{625}\right]\:{in}\:{set}-{builder}\:{form} \\ $$$${ii}.\left[\mathrm{2},\mathrm{4},\mathrm{6},\mathrm{8},\mathrm{10}\right] \\ $$$$ \\ $$
Commented by Ar Brandon last updated on 05/Nov/20
$$\mathrm{i}\backslash\mathcal{R}=\left\{\mathrm{x}\in\mathbb{R}\mid\:\mathrm{x}=\mathrm{5}^{\mathrm{k}} ,\:\mathrm{k}\in\mathbb{Z}^{+} \mathrm{and}\:\mathrm{1}\leqslant\mathrm{k}\leqslant\mathrm{4}\right\} \\ $$$$\mathrm{ii}\backslash\mathcal{R}=\left\{\mathrm{y}\in\mathbb{R}\mid\mathrm{y}=\mathrm{2m},\:\mathrm{m}\in\mathbb{Z}^{+} \mathrm{and}\:\mathrm{1}\leqslant\mathrm{m}\leqslant\mathrm{5}\right\} \\ $$
Commented by zakirullah last updated on 05/Nov/20
$${sir}\:{no}\:{words}\:{to}\:{use}\:{for}\:{your}\:{thanks}! \\ $$