If x is real and `x^(2) - 3x + 2 gt 0, x^(2)- 3x - 4 le 0,` then which one of the following is correct?

If -x^(2)+3x+4gt0 , then which one of the following is correct?

If x^(2) - px + 4 gt 0 for all real value of x,then which one of the following is correct ?

If x^(2)-3 x+2 ge 0 and x^(2)-3 x-4 le 0 then

If x^(2)+6x-27 gt 0 and x^(2)-3x-4 lt 0 , then :

If x^(2)+6x-27 gt 0 and x^(2)-3x-4 lt 0 , then :

If f (x) = {{:( k ( x^(2) - 2 x)", If " x le 0 ),(4 x + 1 ", If " x gt 0 ):} then which one of the following statement is correct