99 Percentile Qs Bank for JEE MainMathematicsBasics of Mathematics
x R: 14 x x+1 - 9 x-30 x-4 < 0 is equal to
Options
- A(-1,4)
- B(1,4) (5,7)
- C(1,7)
- D(-1,1) (4,6)
Correct answer
D. (-1,1) (4,6)
Step-by-step solution
x R: 14 x x+1 - 9 x-30 x-4 < 0 14 x(x-4)-(9 x-30)(x+1) (x+1)(x-4) < 0 14 x^2-56 x- (9 x^2-30 x+9 x-30 ) (x+1)(x-4) < 0 (14 x^2-56 x-9 x^2+30 x-9 x+30 ) (x+1)(x-4) < 0 (5 x^2-35 x+30 ) (x+1)(x-4) < 0 (x^2-7 x+6 ) (x+1)(x-4) < 0, (x-1)(x-6) (x+1)(x-4) < 0 Drawn number line, Hence, x (-1,1) (4,6)