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Penyelesaian dari  adalah ...

Pertanyaan

Penyelesaian dari begin mathsize 14px style 1 half open parentheses 3 x minus 6 close parentheses less or equal than 2 over 3 open parentheses 2 x minus 3 close parentheses end style adalah ...

Pembahasan Soal:

Dengan menggunakan metode aljabar maka diperoleh penyelesaian sebagai berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 1 half open parentheses 3 x minus 6 close parentheses end cell less or equal than cell 2 over 3 open parentheses 2 x minus 3 close parentheses end cell row cell 1 half times 3 x minus 1 half times 6 end cell less or equal than cell 2 over 3 times 2 x minus 2 over 3 times 3 end cell row cell 3 over 2 x minus 3 end cell less or equal than cell 4 over 3 x minus 2 end cell row cell 3 over 2 x minus 3 plus 2 end cell less or equal than cell 4 over 3 x minus 2 plus 2 end cell row cell 3 over 2 x minus 1 end cell less or equal than cell 4 over 3 x end cell row cell 3 over 2 x minus 1 plus 1 end cell less or equal than cell 4 over 3 x plus 1 end cell row cell 3 over 2 x end cell less or equal than cell 4 over 3 x plus 1 end cell row cell 3 over 2 x minus 4 over 3 x end cell less or equal than cell 4 over 3 x minus 4 over 3 x plus 1 end cell row cell 3 over 2 x minus 4 over 3 x end cell less or equal than 1 row cell fraction numerator 9 minus 8 over denominator 6 end fraction x end cell less or equal than 1 row cell 1 over 6 x end cell less or equal than 1 row x less or equal than 6 end table end style  

Diperoleh begin mathsize 14px style x less or equal than 6 end style, lakukan uji titik misalkan begin mathsize 14px style x equals 0 end style maka: 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 1 half open parentheses 3 times 0 minus 6 close parentheses end cell less or equal than cell 2 over 3 open parentheses 2 times 0 minus 3 close parentheses end cell row cell 1 half open parentheses negative 6 close parentheses end cell less or equal than cell 2 over 3 open parentheses negative 3 close parentheses end cell row cell negative 3 end cell less or equal than cell negative 2 space open parentheses benar close parentheses end cell end table end style 

Dengan demikian diperoleh penyelesaian dari begin mathsize 14px style 1 half open parentheses 3 x minus 6 close parentheses less or equal than 2 over 3 open parentheses 2 x minus 3 close parentheses end style adalah begin mathsize 14px style x less or equal than 6 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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