23. Number of integral values of x satisfying vx2 -4x <X-3 will be0)(A

1.	23. Number of integral values of x satisfying vx2 -4x <X-3 will be0)(A) 0(B) 1(C) 2(D) Infinite
Answer» √{x²-4x} < x-3 so , x²-4x < (x-3)² => x²-4x < x²-6x+9=> 6x-4x<9 => 2x<9 => x <9/2 also x²-4x ≥0 so x(x-4) ≥0 x -> (-∞,0] U [4,∞) there intergral soln is 4. answer is only 1. option B. Thank you bro Can I ask you something?

23. Number of integral values of x satisfying vx2 -4x <X-3 will be0)(A) 0(B) 1(C) 2(D) Infinite

Answer»

√{x²-4x} < x-3 so , x²-4x < (x-3)² => x²-4x < x²-6x+9=> 6x-4x<9 => 2x<9 => x <9/2

also x²-4x ≥0 so x(x-4) ≥0 x -> (-∞,0] U [4,∞)

there intergral soln is 4.

answer is only 1. option B.

Thank you bro

Can I ask you something?