Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Solve $|x-3|+|x-2|=1$

Options:

1 ≤ x ≥ 3

2 ≤ x ≤ 3

2 ≤ x ≤ 5

2 ≥ x ≥ 4

Correct Answer:

2 ≤ x ≤ 3

Explanation:

$|x-3|+|x-2|=1$

$⇒|x-3|+|x-2|=(3-x)+(x-2)$

⇒ x - 3 ≤ 0 and x - 2 ≥ 0

⇒ x ≤ 3 and x ≥ 2

⇒ 2 ≤ x ≤ 3