please help me solve this problem Solve Select the correct c

please help me solve this problem.

Solve Select the correct choice below and fill in any

Solution : |a| = a when a >=0 and |a| = - a when a<=0 using this concept we can redefine the eqn as

i ) ( 5x - 6 ) /10 = 9 when ( 5x - 6 ) /10 is >=0 ie 5x - 6 >=0 or x >= 6/5

5x - 6 = 90 , 5x = 96 and x = 96/5 which is >6/5 ANS x = 96/5

ii) (5x - 6) <=0 x <6/5 solving the eqn

- (5x - 6) /10 = 9 , - 5x +6 = 90, - 5x = 84 = > x = - 84/5 which is < 6/5 ANS x= - 84/5

the 2 values of x satisfying the eqn are x= 96/5 and - 84/5