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## what is the solution of mc016-1.jpg?

( x² – 1 ) / ( x² + 5 x + 4 ) < 0x² + 5 x + 4 = x² + 4 x + x + 4 = x ( x + 4 ) + ( x + 4 ) = ( x + 4 ) ( x + 1 )Therefore:( x – 1 ) ( x + 1 ) / ( x + 4 ) ( x + 1 ) < 0( x -1 ) / ( x + 4 ) < 01.x – 1 > 0 and x + 4 < 0x > 1 and x < – 4 ( not possible ) 2. x – 1 < 0 and x + 4 > 0x < 1 and x > – 4 Answer: x ∈ ( – 4, 1 ).

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