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

The solution set for the inequality $|5x-3| \le \dfrac{1}{5}$ is:

Which of the following are correct? (Where $R$ is set of real numbers)

(A) If $x \le 8$, then $-x \ge -8$

(B) If $x \in R, |x| \le 3$, then $-3 \le x \le 3$

(C) If $x \in R, |x|<-4$, then $x \in \phi$

(D) $x=|x|$ iff $x \ge 0$

Choose the correct answer from the options given below:

The inequality $\frac{5x - 2}{3} - \frac{7x - 3}{5} > \frac{x}{4}$ holds when

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

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

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: