(i) A  =  and x is a root of quadratic equation x² -3x -10 = 0}

Now, x² -3x -10 = 0  

   (x-5) (x+2) = 0

              x=5, -2 which are both integers.

Hence, A = {-2, 5}

(ii)       B= {x :x , -5 < x-2 < 5}

Now, -5 < x-2 < 5

         -3 < x < 7

   x is a natural number between -3 and 7 (exclusive).

Hence,  B = {1, 2, 3, 4, 5, 6}

(iii)                       C = {x : x is an odd prime number less than 30}

                        x  = 3, 5, 7, 11, 13, 17, 19, 23, 29

Hence C = { 3, 5, 7, 11, 13, 17, 19, 23, 29}

(a)     

            

Hence,       A  


(b)                 

                              x = (-1)^-1 .1, (-1)² . 2, (-1)³ . 3, (-1)⁴ .4, (-1)⁵ .5
     
                                                  = -1, 2, -3, 4, -5

Hence, B = {-1, 2, -3, 4, -5}