Pertanyaan

Tentukan himpunan penyelesaian 2 x + 2 > 3 2 x − 2 ?

Tentukan himpunan penyelesaian $2^{x + 2} > 3 2^{x - 2}$ ?

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N. Puspita

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Jawaban terverifikasi

Pembahasan

Ingat! Himpunan penyelesaian adalah Dengan demikian diperoleh Jadi,himpunan penyelesaian adalah

Ingat!

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m times n end exponent

Himpunan penyelesaian 2 to the power of x plus 2 end exponent greater than 32 to the power of x minus 2 end exponent adalah

2 to the power of x plus 2 end exponent greater than 32 to the power of x minus 2 end exponent 2 to the power of x plus 2 end exponent greater than open parentheses 2 to the power of 5 close parentheses to the power of x minus 2 end exponent 2 to the power of x plus 2 end exponent greater than 2 to the power of 5 x minus 10 end exponent

Dengan demikian diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell x plus 2 end cell greater than cell 5 x minus 10 end cell row cell 2 plus 10 end cell greater than cell 5 x minus x end cell row 12 greater than cell 4 x end cell row cell 4 x end cell less than 12 row x less than cell 12 over 4 end cell row x less than 3 end table

Jadi, himpunan penyelesaian 2 to the power of x plus 2 end exponent greater than 32 to the power of x minus 2 end exponent adalah

open curly brackets x vertical line x less than 3 comma space x element of R close curly brackets