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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, 05:14: PM
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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, 05:14: PM
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JEE main - Maths
Out of 14 people, twelve said that it was not the case that they watched television but did not listen to the radio. Also, for nine people it is not the case that they do not watch TV and do not listen to the radio. Finally, seven people either watch television or listen to the radio but do not do both. Noe let A be number of people that watch TV and B be the number of people that listen radio. Find A and B.
Asked by bsola6178 | 10 May, 2019, 11:45: AM
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