jawab beserta cara ya :D terimakasih.... Question from @icici

October 2018 2 24 Report

$semua nilai p yang memenuhi pertidaksamaaan \frac{p}{p-2}\ \textless \ \frac{p-1}{p+2} adalah... \\ a.p\ \textgreater \ 2' atau 'p\ \textless \ -2 \\ b.-2\ \textless \ p\ \textless \ \frac{2}{5} 'dan' p \neq 0 \\ c.p\ \textless \ -2'atau' \frac{2}{5}\ \textless \ p\ \textless \ 2 \\ d. \frac{2}{5}\ \textless \ p\ \textless \ 2'dengan'p \neq 0 \\ e.-2\ \textless \ p\ \textless \ - \frac{2}{5}'atau' p\ \textgreater \ 2$ jawab beserta cara ya :D terimakasih

ImmanuelSinaga $$\begin{align}\frac{p}{p-2}&\ \textless \ \frac{p-1}{p+2} \\ \frac{p}{p-2}-\frac{p-1}{p+2}&\ \textless \ 0 \\ \bold{operasikan~layaknya~pecahan~biasa~:}& \\ \frac{p^2+2p-p^2+2p+p-2}{p^2-4}&\ \textless \ 0 \\ \frac{5p-2}{p^2-4}&\ \textless \ 0 \\ \bold{didapat~batas~batas~:}& \\ &\bullet~5p-2~=~0 \\ &~~~~~~~~~~~p~=~\frac{2}{5} \\ &\bullet~p~\not{=} \pm 2\end{align}$

$\bold{cobakkan~beberapa~batas~nilai~p~,~didapat~:} \\ \boxed{\bold{C.~~~~~~~~~p\ \textless \ ~-2~~\text{atau}~~\frac{2}{5}\ \textless \ p\ \textless \ 2}}$

1 votes Thanks 1

hendrisyafa coba masuikkan nilai p = -3

ImmanuelSinaga benar kak hendri

hendrisyafa pinter... :-)

hendrisyafa Syarat : penyebut ≠ 0
   p-2 ≠ 0 dan p+2≠0
   p ≠ 2 p ≠ -2

cari akar2 pers P

$\frac{p}{p-2}- \frac{p-1}{p+2} \ \textless \ 0$

$\frac{p(p+2)-(p-1)(p-2)}{(p-2)(p+2)}\ \textless \ 0$

$\frac{p^{2}+2p-(p^{2}-3p+2)}{(p-2)(p+2)}\ \textless \ 0$

$\frac{5p-2}{(p-2)(p+2)}\ \textless \ 0$

akar persamaan 5p-2 = 0
   5p = 2
   p = 2/5

batasan2 garis bilangan

_____-2_______2/5____2____

jika p = -3
$\frac{5.(-3)-2}{(-3-2)(-3+2)}= \frac{-17}{(-5).(-1)}=-$

jika p = -1
$\frac{5.(-1)-2}{(-1-2)(-1+2)}= \frac{-7}{(-3).(1)}=+$

jika p = 1
$\frac{5.(1)-2}{(1-2)(1+2)}= \frac{3}{(-1).(3)}=-$

jika p = 3
$\frac{5.(3)-2}{(3-2)(3+2)}= \frac{13}{(1).(5)}=+$

------- -2 ++++ 2/5 ------2 +++++

karena tanda < 0 , ambil yang negatif

p < -2 dan 2/5 < p < 2 dan p ≠ 0

yang memenuhi jawaban    p < -2 dan 2/5 < p < 2 dgn p ≠ 0

0 votes Thanks 1

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Sebuah kubus dan tabung memiliki panjang rusuk, tinggi, serta diameter yang sama sebesar 14 cm. Volume kedua bangun ruabg tersebut jika tabung berada dia atas kubus adalah .... cm³ minta caranya ya makasih~ a.4800 b.4900 c.11368 d.11386

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