If `S={x in R :((log)_(0. 6)0. 216)(log)_5(5-2x)lt=0},`then `S`is equal to`(2. 5 ,oo)`(b) `(2, 2.5)`(c) `(2, 2.5)`(d) `(0, 2.5)`A. `[ 2.5, infty)`B. ` [2, 2.5)`C. ` (2, 2.5)`D. `(0, 2.5)`

If `S={x in R :((log)_(0. 6)0. 216)(log)_5(5-2x)lt=0},`then `S`is equa

1.	If `S={x in R :((log)_(0. 6)0. 216)(log)_5(5-2x)lt=0},`then `S`is equal to`(2. 5 ,oo)`(b) `(2, 2.5)`(c) `(2, 2.5)`(d) `(0, 2.5)`A. `[ 2.5, infty)`B. ` [2, 2.5)`C. ` (2, 2.5)`D. `(0, 2.5)`
Answer» Correct Answer - B ` ( log_((0.6))(0.6)^(3)) log_(5) (5-2x) le 0` ` rArr 5 - 2x le 1 ` ` rArr x ge 2 ` ...(i) Also`, 5 - 2x gt 0` ...(ii) From Eqs. (i) and (ii), we have ` x in [2, 2.5)`.