For x, the solution of x – 3 = {x}

CUET Preparation Today

Start Free Mocks

Home Questions VKJSPXNCUS

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

For x, the solution of x – 3 = {x} is :

Options:

[2, 4]

[3, 5]

(3, 4)

[3, 4)

Correct Answer:

[3, 4)

Explanation:

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)