Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

$x+\frac{x}{2}+\frac{x}{3}< 11$

Options:

$(-∞, 7)$

$(-∞, 6)$

$(-∞, 5)$

$(-∞, 4)$

Correct Answer:

$(-∞, 6)$

Explanation:

The correct answer is option (2) : $(-∞, 6)$

$x+\frac{x}{2}+\frac{x}{3}< 11$

Multiply by 6 (LCM of 2, 3) both sides

$6x+3+2x< 66$

$11x< 66$

$x<6$

Solution is $(-∞, 6)$