5x−19≤1 OR −4x+3<−65, x, minus, 19, is less than or equal to, 1, start color #ed5fa6, start text, space, O, R, space, end text, end color #ed5fa6, minus, 4, x, plus, 3, is less than, minus, 6Choose 1 Choose 1 (Choice A)Ax≥4x\geq4x≥4x, is greater than or equal to, 4(Choice B)B94−94x>-\dfrac94x>−49x, is greater than, minus, start fraction, 9, divided by, 4, end fraction(Choice D)DThere are no solutions(Choice E)EAll values of are solutions

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

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