Theory of Equations 1 Question 48

49. Find the set of all x for which

2x2x2+5x+2>1x+1

(1987, 3M)

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Solution:

  1. Given,

2x2x2+5x+2>1x+1

2x(2x+1)(x+2)1(x+1)>0

2x(x+1)(2x+1)(x+2)(2x+1)(x+2)(x+1)>0 (3x+2)(2x+1)(x+1)(x+2)>0; using number line rule

x(2,1)23,12



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