Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Solve the following : $|x^2-x|=x^2-x$

Options:

$(-∞,∞)$

$(-∞,∞]∪[1,0)$

$(-∞,0]∪[1,∞)$

$[1,∞)$

Correct Answer:

$(-∞,0]∪[1,∞)$

Explanation:

$|x^2-x|=x^2-x$

$⇒x^2-x≥0⇒x(x-1)≥0$

Using wavy curve method

so $x∈(-∞,0]∪[1,∞)$ domain for equation to be true