Category: Algebra

Question Number 1007 by tera last updated on 13/May/15 $$[x-2]>-2.x=\dots ..$$ Answered by prakash jain last updated on 13/May/15 $$(x-2)>-2\Rightarrow x-2+2>-2+2\Rightarrow x>0$$ Terms of…

Question Number 984 by 112358 last updated on 13/May/15 $$Showthat\frac{x(x+1)}{3x-1}>1giventhatx>\frac{1}{3}.$$ Commented by prakash jain last updated on 13/May/15 $$\mathrm{For}x=1\mathrm{LHS}=\frac{1\times 2}{2}=1\ngtr 1$$$$\mathrm{So}\mathrm{the}\mathrm{inequality}\mathrm{should}\mathrm{be}$$$$\frac{{x}\left({x}+\mathrm{1}\right)}{\mathrm{3}{x}−\mathrm{1}}\geqslant\mathrm{1}…

Question Number 132031 by mathlove last updated on 10/Feb/21 Commented by kaivan.ahmadi last updated on 10/Feb/21 $$p\left(x\right)=f\left(x\right)(x-1)+3=g\left(x\right)(x+1)+7$$$$p\left(1\right)=3,p(-1)=7$$$$p\left(x\right)=t\left(x\right)(x^2-1)+k\left(x\right)$$$${p}\left(\mathrm{1}\right)={k}\left(\mathrm{1}\right)\Rightarrow{k}\left(\mathrm{1}\right)=\mathrm{3}\Rightarrow\left(\mathrm{1},\mathrm{3}\right)\in{k} \…

Question Number 892 by Karting7442 last updated on 14/Apr/15 $$\frac{-5+x}{22}=-1check$$$$$$$$whatisx?alsocheckit.$$ Answered by prakash jain last updated on 14/Apr/15 $$\frac{−\mathrm{5}+{x}}{\mathrm{22}}×\mathrm{22}=−\mathrm{1}×\mathrm{22}…

Question Number 880 by arnav last updated on 11/Apr/15 $$Solve$$$$\frac{x+3}{x-3}<1$$ Answered by 123456 last updated on 11/Apr/15 $$\frac{x+3}{x-3}-1<0$$$$\frac{{x}+\mathrm{3}−{x}+\mathrm{3}}{{x}−\mathrm{3}}<\mathrm{0} \…