Iklan

Iklan

Pertanyaan

Penyelesaian dari pertidaksamaan 2 a ​ − 6 ( 1 − a ) ​ > 3 a ​ adalah ...

Penyelesaian dari pertidaksamaan  adalah ... 

Iklan

B. Hary

Master Teacher

Jawaban terverifikasi

Jawaban

penyelesaian dari pertidaksamaan tersebut adalah a > 2 1 ​ .

penyelesaian dari pertidaksamaan tersebut adalah 

Iklan

Pembahasan

Perhatikan perhitungan berikut! &\frac a3\\\left[\frac a2-\frac{\left(1-a\right)}6\right]\cdot{\color[rgb]{0.0, 0.0, 1.0}6}&>&\left[\frac a3\right]\cdot{\color[rgb]{0.0, 0.0, 1.0}6}\\3a-\left(1-a\right)&>&2a\\3a-1+a&>&2a\\4a-1&>&2a\\4a-1+{\color[rgb]{0.0, 0.0, 1.0}1}&>&2a+{\color[rgb]{0.0, 0.0, 1.0}1}\\4a&>&2a+1\\4a-{\color[rgb]{0.0, 0.0, 1.0}2}{\color[rgb]{0.0, 0.0, 1.0}a}&>&2a+1-{\color[rgb]{0.0, 0.0, 1.0}2}{\color[rgb]{0.0, 0.0, 1.0}a}\\2a&>&1\\\frac{2a}{\color[rgb]{0.0, 0.0, 1.0}2}&>&\frac1{\color[rgb]{0.0, 0.0, 1.0}2}\\a&>&\frac12\end{array}" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0px¨ columnalign=¨right center left¨»«mtr»«mtd»«mfrac»«mi»a«/mi»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mfenced»«mrow»«mn»1«/mn»«mo»-«/mo»«mi»a«/mi»«/mrow»«/mfenced»«mn»6«/mn»«/mfrac»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mfrac»«mi»a«/mi»«mn»3«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mfenced open=¨[¨ close=¨]¨»«mrow»«mfrac»«mi»a«/mi»«mn»2«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mfenced»«mrow»«mn»1«/mn»«mo»-«/mo»«mi»a«/mi»«/mrow»«/mfenced»«mn»6«/mn»«/mfrac»«/mrow»«/mfenced»«mo»§#183;«/mo»«mn mathcolor=¨#0000FF¨»6«/mn»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mfenced open=¨[¨ close=¨]¨»«mfrac»«mi»a«/mi»«mn»3«/mn»«/mfrac»«/mfenced»«mo»§#183;«/mo»«mn mathcolor=¨#0000FF¨»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»a«/mi»«mo»-«/mo»«mfenced»«mrow»«mn»1«/mn»«mo»-«/mo»«mi»a«/mi»«/mrow»«/mfenced»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mn»2«/mn»«mi»a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»a«/mi»«mo»-«/mo»«mn»1«/mn»«mo»+«/mo»«mi»a«/mi»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mn»2«/mn»«mi»a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«mi»a«/mi»«mo»-«/mo»«mn»1«/mn»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mn»2«/mn»«mi»a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«mi»a«/mi»«mo»-«/mo»«mn»1«/mn»«mo»+«/mo»«mn mathcolor=¨#0000FF¨»1«/mn»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mn»2«/mn»«mi»a«/mi»«mo»+«/mo»«mn mathcolor=¨#0000FF¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«mi»a«/mi»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mn»2«/mn»«mi»a«/mi»«mo»+«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»4«/mn»«mi»a«/mi»«mo»-«/mo»«mn mathcolor=¨#0000FF¨»2«/mn»«mi mathcolor=¨#0000FF¨»a«/mi»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mn»2«/mn»«mi»a«/mi»«mo»+«/mo»«mn»1«/mn»«mo»-«/mo»«mn mathcolor=¨#0000FF¨»2«/mn»«mi mathcolor=¨#0000FF¨»a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»a«/mi»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«mn mathcolor=¨#0000FF¨»2«/mn»«/mfrac»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mfrac»«mn»1«/mn»«mn mathcolor=¨#0000FF¨»2«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mi»a«/mi»«/mtd»«mtd»«mo»§#62;«/mo»«/mtd»«mtd»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»" role="math" src="data:image/png;base64,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" style="max-width: none;"> Dengan demikian, penyelesaian dari pertidaksamaan tersebut adalah a > 2 1 ​ .

Perhatikan perhitungan berikut! 

table attributes columnalign right center left columnspacing 0px end attributes row cell a over 2 minus fraction numerator open parentheses 1 minus a close parentheses over denominator 6 end fraction end cell greater than cell a over 3 end cell row cell open square brackets a over 2 minus fraction numerator open parentheses 1 minus a close parentheses over denominator 6 end fraction close square brackets times 6 end cell greater than cell open square brackets a over 3 close square brackets times 6 end cell row cell 3 a minus open parentheses 1 minus a close parentheses end cell greater than cell 2 a end cell row cell 3 a minus 1 plus a end cell greater than cell 2 a end cell row cell 4 a minus 1 end cell greater than cell 2 a end cell row cell 4 a minus 1 plus 1 end cell greater than cell 2 a plus 1 end cell row cell 4 a end cell greater than cell 2 a plus 1 end cell row cell 4 a minus 2 a end cell greater than cell 2 a plus 1 minus 2 a end cell row cell 2 a end cell greater than 1 row cell fraction numerator 2 a over denominator 2 end fraction end cell greater than cell 1 half end cell row a greater than cell 1 half end cell end table 

Dengan demikian, penyelesaian dari pertidaksamaan tersebut adalah 

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

1

Iklan

Iklan

Pertanyaan serupa

3 2 x − 3 ​ ≥ 12

29

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia