CUET Mathematics 2026 19th May Shift 2 PYQs

The solution set $\{x: x \in R, 3x-2 < x+2 \le 2x+6\}$ (Where $R$ is set of real numbers) is :

Which of the following inequalities are NOT correct?

(A) If $a > 1, b > 1,$ then $\log_b a + \log_a b \leq 2$

(B) For any real number $x, (9^x + 9^{1-x}) \geq 9$

(C) If $a,b,c$ are non-zero real numbers of the same sign, then $\left(\frac{a}{b} + \frac{b}{c} + \frac{c}{a}\right) \leq 3$

(D) If $a,b,c$ are three distinct real numbers, then $(a + b)(b + c)(c + a) \geq 8abc$

Choose the correct answer from the options given below:

For the inequality $3-2x \geq x-32$, which of the following are true?

(A) When $x \in N$ (set of natural numbers), the solution set is $\{1,2,3,\dots,11\}$.

(B) When $x \in I$ (set of integers), the solution set is $\{-\infty,\dots,-3,-2,-1,0,1,2,3,\dots 10,11\}$.

(C) When $x \in W$ (set of whole numbers), the solution set is $\{0,1,2,3,\dots,11\}$.

(D) When $x \in R$ (set of real numbers), the solution set is $(-\infty,\infty)$.

Choose the correct answer from the options given below: