For x, the solution of x – 3 = {x} is :
Answer & explanation
Correct answer: option 4
The correct answer is Option 4: [3, 4)
x − 3 = {x}
Fractional part definition: {x} = x − [x]
Substitute: x − 3 = x − [x]
−3 = −[x]
[x] = 3
If the greatest integer value is 3, thenn3 ≤ x < 4
Therefore the solution set is: [3, 4)