If `|(1)/(2)x|ge(1)/(2)`, then which statements must true?

If 0 < y < x , which statement must be true?

If |2x-4|ge (x)/(4) , which of the following statements must be true ?

If a function f is continuous for all x and if f has a relative maximum at (-1,4) and a relative minimum at (3,-2), then which of the following statements must be true?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

If x in RR and (x)/(2x+1) ge 1/4, state which of the following is true-

Given the set of data 1,1,2,2,2,3,3,x,y, where x and y represent two different integers. If the mode is 2, which of the following statements must be true?

If f(x)ge 0 and g(x)ge 0 for all real x, which of the following statements must be true ? I. f(x)+g(x)ge 0 II. f(x)-g(x)ge 0 III. f(x)g(x)ge 0

If -3x+6ge18 , which of the following must be true?