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Himpunan penyelesaian dari begin mathsize 14px style fraction numerator x squared minus 3 x plus 2 over denominator x squared plus x minus 2 end fraction less or equal than 2 end style begin mathsize 14px style fraction numerator x squared minus 3 x plus 2 over denominator x squared plus x minus 2 end fraction less or equal than 2 end style adalah ...

A. Acfreelance

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begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator x squared minus 3 x plus 2 over denominator x squared plus x minus 2 end fraction end cell less or equal than 2 row cell x squared minus 3 x plus 2 end cell less or equal than cell 2 open parentheses x squared plus x minus 2 close parentheses end cell row cell x squared minus 3 x plus 2 end cell less or equal than cell 2 x squared plus 2 x minus 4 end cell row 0 less or equal than cell x squared plus 5 x minus 6 end cell row 0 less or equal than cell open parentheses x plus 6 close parentheses open parentheses x minus 1 close parentheses end cell end table end style

begin mathsize 14px style x subscript 1 equals negative 6 blank atau blank x subscript 2 equals 1 end style

Pilih begin mathsize 14px style x equals 0 text  di end text space minus 6 less or equal than x less or equal than 1 end style, dapat diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 0 plus 6 close parentheses open parentheses 0 minus 1 close parentheses end cell equals cell 6 open parentheses negative 1 close parentheses end cell row blank equals cell negative 6 end cell end table end style

Sehingga, begin mathsize 14px style x end style bernilai negatif di begin mathsize 14px style negative 6 less or equal than x less or equal than 1 end style.

Himpunan penyelesaian merupakan begin mathsize 14px style x end style positif, yaitu pada begin mathsize 14px style x less or equal than negative 6 blank atau blank straight x greater or equal than 1 end style.

Jadi, himpunan penyelesaian dari begin mathsize 14px style fraction numerator x squared minus 3 x plus 2 over denominator x squared plus x minus 2 end fraction less or equal than 2 end style yaitu pada interval begin mathsize 14px style x less or equal than negative 6 blank atau blank straight x greater or equal than 1 end style.

 

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