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TS EAMCET · Maths · Complex Number

The solution set of the inequation 3x+31-x-4<0, is

  1. A (0,1)
  2. B (0,2)
  3. C (1,2)
  4. D (1,3)
Verified Solution

Answer & Solution

Correct Answer

(A) (0,1)

Step-by-step Solution

Detailed explanation

3x+31-x-4<0 ⇒3x2-4·3x+3<0 ⇒(3x)2-3·3x-3x+3<0 ⇒3x3x-3-13x-3<0 ⇒3x-1(3x-3)<0 ⇒3x∈(1,3) ⇒x∈(0,1)