Which of the following inequalities holds true? (A) $\sqrt{5} + \sqrt{3} > \sqrt{6} + \sqrt{2}$. (B) If $a > b$ and $c < 0$, then $\frac{a}{c} < \frac{b}{c}$. (C) $\frac{1}{x^2} > \frac{1}{x} > 1$, if $0 < x < 1$. (D) If $a$ and $b$ are positive integers and $\frac{a - b}{6.25} = \frac{4}{2.5}$, then $b > a$. Choose the correct answer from the options given below:

The solution set of the inequality $3x+4y<12$ is

Which of the following shaded regions represents the solution to the inequation $|x|+|y| \leq 1$ ?

Solution of the inequality $\frac{2x+3}{4x-5} \geq 0$ is

Which of the following are correct?

A. If $|x-5|<2$, then $x \in (3,7)$

B. If $|x-1|<4$, then $x \in (-3,5)$

C. If $|x-2|<6$, then $x \in (4,8)$

D. If $|x-4|<1$, then $x \in (-3,5)$

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

The solution to the inequality $-12 < \frac{2x-1}{3} < 12$ is