How do I solve CUET PG 2024 Mathematics questions?

Practice CUET PG 2024 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

What is the difficulty level of CUET PG Mathematics questions?

CUET PG Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Are CUET PG previous year papers available for free?

Yes. Mathem Solvex provides free access to CUET PG previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

CUET PG 2024 — Mathematics PYQ

CUET PG | Mathematics | 2024

The value of x satisfies the inequality |x –1| + |x –2| > 4 if

Choose the correct answer:

Explanation

$Case 1: x \geq 2$

$For x \geq 2 :$

$∣ x - 1∣ = x - 1$

$∣ x - 2∣ = x - 2$

$(x - 1) + (x - 2) > 4$

$2x - 3 > 4$

$2x > 7$

$x > \tfrac{7}{2}$

$\textbf{Case 2: } 1 < x < 2$

$\text{For } 1 < x < 2:$

$∣ x - 1∣ = x - 1$

$∣ x - 2∣ = 2 - x$

$(x - 1) + (2 - x) > 4$

$1 > 4$

$No solution in interval (1, 2)$

$Case 3: x \leq 1$

$For x \leq 1 :$

$∣ x - 1∣ = 1 - x$

$∣ x - 2∣ = 2 - x$

$(1 - x) + (2 - x) > 4$

$3 - 2x > 4$

$-2x > 1$

$x < -\tfrac{1}{2}$