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Pertanyaan

Jika open vertical bar P close vertical bar less than 1 dan p not equal to 0, manakah pernyataan berikut yang selalu benar?

(1) 1 over p squared less than p 
(2) p squared less than p cubed 
(3) p less than 5 p 
(4) p to the power of 4 less than 1 over p to the power of 4 

  1. (1), (2), dan (3) SAJA yang benarspace 

  2. (1), dan (3) SAJA yang benarspace 

  3. (2), dan (4) SAJA yang benarspace 

  4. HANYA (4) saja yang benarspace 

  5. SEMUA pilihan benarspace 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

open vertical bar P close vertical bar less than 1 rightwards double arrow negative 1 less than p less than 1 

Sehingga 

1) 1 over p squared less than p

     uji p equals negative 1 half 

table attributes columnalign right center left columnspacing 0px end attributes row cell 1 over open parentheses negative begin display style 1 half end style close parentheses squared end cell less than cell negative 1 half end cell row cell fraction numerator 1 over denominator begin display style 1 fourth end style end fraction end cell less than cell negative 1 half end cell row 4 less than cell negative 1 half space end cell row blank blank cell tidak space benar end cell end table 

2) p squared less than p cubed 

    Uji p equals negative 1 half 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative 1 half close parentheses squared end cell less than cell open parentheses negative 1 half close parentheses cubed end cell row cell 1 fourth end cell less than cell negative 1 over 8 end cell row blank blank cell Tidak space benar end cell end table 

3)  p less than 5 p 

      Uji p equals negative 1 half 

table attributes columnalign right center left columnspacing 0px end attributes row cell negative 1 half end cell less than cell 5 times open parentheses negative 1 half close parentheses end cell row cell negative 1 half end cell less than cell negative 5 over 2 end cell row blank blank cell tidak space benar end cell end table 

4) p to the power of 4 less than 1 over p to the power of 4

p to the power of 4 less than 1 over p to the power of 4 left right double arrow p to the power of 8 less than 1 

      Karena negative 1 less than p less than 1, maka pernyataan tersebut selalu benar. 

Oleh karena itu, jawaban yang benar adalah D.

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