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Question Number 151805 by abdurehime last updated on 23/Aug/21

1.Let R be a relation on a set A={1,2,3,4,5,6} defined by R{(a,b):a+b≤9 then find A. R and R^(−1) B. domain and range of R and R^(−1) C.is R=R^(−1) ??

$$\mathrm{1}.\mathrm{Let}\:\mathrm{R}\:\mathrm{be}\:\mathrm{a}\:\mathrm{relation}\:\mathrm{on}\:\mathrm{a}\:\mathrm{set}\: \\ $$$$\mathrm{A}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6}\right\}\:\mathrm{defined}\:\mathrm{by}\: \\ $$$$\mathrm{R}\left\{\left(\mathrm{a},\mathrm{b}\right):\mathrm{a}+\mathrm{b}\leqslant\mathrm{9}\:\mathrm{then}\:\mathrm{find}\right. \\ $$$$\mathrm{A}.\:\:\mathrm{R}\:\mathrm{and}\:\mathrm{R}^{−\mathrm{1}} \\ $$$$\mathrm{B}.\:\:\mathrm{domain}\:\mathrm{and}\:\mathrm{range}\:\mathrm{of}\:\mathrm{R}\:\mathrm{and}\:\mathrm{R}^{−\mathrm{1}} \\ $$$$\mathrm{C}.\mathrm{is}\:\mathrm{R}=\mathrm{R}^{−\mathrm{1}} ?? \\ $$$$ \\ $$

Commented by abdurehime last updated on 23/Aug/21

please help me

$$\:\:\:\:\mathrm{please}\:\mathrm{help}\:\mathrm{me} \\ $$

Commented by mr W last updated on 23/Aug/21

do you think you can change something when you repeat millions times? i think you reach just the opposite in this way.

$${do}\:{you}\:{think}\:{you}\:{can}\:{change}\:{something} \\ $$$${when}\:{you}\:{repeat}\:{millions}\:{times}? \\ $$$${i}\:{think}\:{you}\:{reach}\:{just}\:{the}\:{opposite}\:{in} \\ $$$${this}\:{way}. \\ $$

Commented by talminator2856791 last updated on 23/Aug/21

what is the opposite?

$$\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{opposite}? \\ $$

Commented by mr W last updated on 23/Aug/21

i don′t want to teach anyone here how to behave.

$${i}\:{don}'{t}\:{want}\:{to}\:{teach}\:{anyone}\:{here} \\ $$$${how}\:{to}\:{behave}. \\ $$

Commented by Rasheed.Sindhi last updated on 23/Aug/21

Do you think it better that a person repeats many times:′help please, help please,help,help,.......... Is there an emergency? Isn′t it sufficient to write question only? I think the question itself is an apeal(for being solved). If it′s an urgent then one time help-apeal is bearable.

$$\mathcal{D}{o}\:{you}\:{think}\:{it}\:{better}\:{that}\:{a}\:{person} \\ $$$${repeats}\:{many}\:{times}:'{help}\:{please}, \\ $$$${help}\:{please},{help},{help},.......... \\ $$$${Is}\:\:{there}\:{an}\:{emergency}? \\ $$$${Isn}'{t}\:{it}\:{sufficient}\:{to}\:{write}\:{question} \\ $$$${only}?\:{I}\:{think}\:{the}\:{question}\:\:{itself}\:{is} \\ $$$${an}\:{apeal}\left({for}\:{being}\:{solved}\right).\:{If}\:{it}'{s} \\ $$$${an}\:{urgent}\:{then}\:{one}\:{time}\:{help}-{apeal} \\ $$$${is}\:{bearable}. \\ $$

Commented by abdurehime last updated on 24/Aug/21

i said many times help me is that i want the answer for only that time and my questions are not always done so if it is un necessary appologize please

$$\mathrm{i}\:\mathrm{said}\:\mathrm{many}\:\mathrm{times}\:\mathrm{help}\:\mathrm{me}\:\mathrm{is}\:\mathrm{that} \\ $$$$\:\mathrm{i}\:\mathrm{want}\:\mathrm{the}\:\:\mathrm{answer}\:\mathrm{for}\:\mathrm{only}\:\mathrm{that}\:\mathrm{time}\:\mathrm{and}\:\mathrm{my}\:\mathrm{questions}\:\mathrm{are}\:\mathrm{not}\:\mathrm{always}\:\mathrm{done}\: \\ $$$$\mathrm{so} \\ $$$$\mathrm{if}\:\mathrm{it}\:\mathrm{is}\:\mathrm{un}\:\mathrm{necessary}\:\mathrm{appologize}\:\mathrm{please} \\ $$

Commented by Rasheed.Sindhi last updated on 25/Aug/21

SORRY if my words hurt you. I think it depends on question itself (not the questioner) whether it′s answered or not.

$${SORRY}\:\:{if}\:{my}\:{words}\:{hurt}\:{you}. \\ $$$${I}\:{think}\:{it}\:\:{depends}\:{on}\:{question}\:{itself} \\ $$$$\left({not}\:{the}\:{questioner}\right)\:{whether}\:{it}'{s} \\ $$$${answered}\:{or}\:{not}. \\ $$

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