Solve the following inequalities (where [*] denotes greatest integer function and {*} represent fractional part function) `[2x^2 -x] lt 1`

Solve the following inequalities (where [*] denotes greatest integer function and {*} represent fractional part function) (i) [x+[x]] lt 0 (ii) [2x^(2)-x] lt 1 (iii) {x} lt (1)/(2)

Solve the following inequalities (where [*] denotes greatest integer function and {*} represent fractional part function) (i) [x+[x]] lt 0 (ii) [2x^(2)-x] lt 1 (iii) {x} lt (1)/(2)

Solve the following equation (where [*] denotes greatest integer function and {*} represent fractional part function ) [x^(2)]+2[x]=3x , 0 le x le 2 .

Solve the following equations (where [*] denotes greatest integer function and {*} represent fractional part function and sgn represents signum function)

Solve the following equations x^(2)-3-{x}=0 where [x] denotes the greatest integer and {x} fractional part.

Solve the following equations x^(2)-3-{x}=0 where [x] denotes the greatest integer and {x} fractional part.

Solve for x (where [*] denotes greatest integer function and {*} represent fractional part function) (i) [2x]=1 (ii) {x}^(2)+[x]=2 (iii) 6{x}^(2)-5{x}+1=0 (iv) 6{x}^(2)-5{x}-1=0

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.