99 Percentile Qs Bank for JEE MainMathematicsBasics of Mathematics
The set of values of x for which the inequalities x^2-3 x-10 < 0, 10 x-x^2-16>0 hold simultaneously, is
Options
- A(-2,5)
- B(2,8)
- C(-2,8)
- D(2,5)
Correct answer
D. (2,5)
Step-by-step solution
Given inequalities are array lrl x^2-3 x-10 & & x^2-5 x+2 x-10 & < 0 & & x (-2,5) & & (x+2)(x-5) < 0 and & & 10 x-x^2-16>0 & x^2-10 x+16 < 0 & x^2-8 x-2 x+16 < 0 & & (x-2)(x-8) < 0 & x (-2,5) (2,8) & x (2,5) array