Solution set of $2[x]^2-11[x]+12=0$ (whe

CUET Preparation Today

Start Free Mocks

Home Questions 2C3KDXMRDD

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Solution set of $2[x]^2-11[x]+12=0$ (where [·] represents greatest integer function) is

Options:

{1} ∪ [4, 5)

[4, 5)

[1, 2) ∪ [4, 5)

Correct Answer:

[4, 5)

Explanation:

$2[x]^2-11[x]+12=0⇒(2[x]-3)([x]-4)=0$

$⇒[x]=\frac{3}{2}$ not possible and [x] = 4 ⇒ x ∈ [4, 5)