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Solve the inequality. x + 1 / (x-1)^2 > 1 The answer is (-∞,0) U (3,∞)
Asked by prakhar.dpm | 08 Sep, 2019, 17:14: PM
answered-by-expert Expert Answer
fraction numerator x plus 1 over denominator left parenthesis x minus 1 right parenthesis squared end fraction greater than 1 rightwards double arrow x plus 1 greater than left parenthesis x minus 1 right parenthesis squared rightwards double arrow x plus 1 greater than x squared minus 2 x plus 1 rightwards double arrow x squared minus 3 x less than 0 rightwards double arrow x left parenthesis x minus 3 right parenthesis less than 0 T h e r e space a r e space t w o space c a s e s colon space C a s e space 1 colon x less than 0 space a n d space x minus 3 greater than 0 rightwards double arrow x less than 0 space a n d space x greater than 3 T h e r e space i s space n o space c o m m o n space p o i n t space f o r space t h e space a b o v e space t w o space i n e q u a l i t y S o comma space i t space i s space e m p t y C a s e space 2 colon x greater than 0 space a n d space x minus 3 less than 0 rightwards double arrow x greater than 0 space a n d space x less than 3 rightwards double arrow 0 less than x less than 3 rightwards double arrow x element of left parenthesis 0 comma 3 right parenthesis H e n c e comma space t h e space a n s w e r space i s space left parenthesis 0 comma space 3 right parenthesis T h e space a n s w e r space w i l l space b e space left parenthesis negative infinity comma 0 right parenthesis space union space left parenthesis 3 comma infinity right parenthesis space i f space t h e space i n e q u a l i t y space w o u l d space b e space fraction numerator x plus 1 over denominator left parenthesis x minus 1 right parenthesis squared end fraction less than 1
Answered by Renu Varma | 09 Sep, 2019, 10:43: AM
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Solve the inequality. x + 1 / (x-1)^2 > 1 The answer is (-∞,0) U (3,∞)
Asked by prakhar.dpm | 08 Sep, 2019, 17:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
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