Pertanyaan

Banyak bilangan asli x yang memenuhi ( x + 2 ) ( x − 2 ) ( x + 1 ) ( x − 1 ) ≤ 1 adalah ....

Banyak bilangan asli x yang memenuhi $\frac{( x + 1 ) ( x - 1 )}{( x + 2 ) ( x - 2 )} \leq 1$ adalah ....

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Pembahasan

Bilangan asli yang memenuhi adalah 1, ada sebanyak 1

$fraction numerator open parentheses straight x plus 1 close parentheses open parentheses straight x minus 1 close parentheses over denominator open parentheses straight x plus 2 close parentheses open parentheses straight x minus 2 close parentheses end fraction less or equal than 1 rightwards double arrow fraction numerator open parentheses straight x plus 1 close parentheses open parentheses straight x minus 1 close parentheses over denominator open parentheses straight x plus 2 close parentheses open parentheses straight x minus 2 close parentheses end fraction minus 1 less or equal than 0 rightwards double arrow fraction numerator open parentheses straight x plus 1 close parentheses open parentheses straight x minus 1 close parentheses over denominator open parentheses straight x plus 2 close parentheses open parentheses straight x minus 2 close parentheses end fraction minus fraction numerator open parentheses straight x plus 2 close parentheses open parentheses straight x minus 2 close parentheses over denominator open parentheses straight x plus 2 close parentheses open parentheses straight x minus 2 close parentheses end fraction less or equal than 0 rightwards double arrow fraction numerator open parentheses straight x squared minus 1 close parentheses minus open parentheses straight x squared minus 4 close parentheses over denominator open parentheses straight x plus 2 close parentheses open parentheses straight x minus 2 close parentheses end fraction less or equal than 0 rightwards double arrow fraction numerator 3 over denominator open parentheses straight x plus 2 close parentheses open parentheses straight x minus 2 close parentheses end fraction less or equal than 0 space memiliki space penyelesaian space – 2 space less than space straight x space less than space 2 space$

Bilangan asli yang memenuhi adalah 1, ada sebanyak 1