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Grade 11Differential Calculus

(x+9)(x+1)/x+6 ≥ x

Profile image of Nehal Singh
16 Years agoGrade 11
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2 Answers

Profile image of Askiitians Expert Mohit Singla
16 Years ago

Dear Nehal,

{(x+9)(x+1)/(x+6)} - x ≥ 0

{(x+9)(x+1)-x(x+6)}/(x+6) ≥

Expanding and solving we get

(4x+9)/(x+6)≥0

or 4(x+9/4)/(x+6)≥0

or (x+9/4)/(x+6)≥0

By wavy curve method x belongs to (-∞,-6]U[-9/4,∞)

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MOHIT

Profile image of Jaskaran Singh
14 Years ago

I dont think that the answer would be frm - infinity to 6 (including six)....because if we include six then denominator would become 0...hence the answer would be not defined......bt i can also be wrong....incase im wrong pls explain me the right answer