(b) Wirte four integers less than -10.

If [x] is the greatest integer less than or equal to x and (x) be the least integer greater than or equal to x and [x]^(2)+(x)^(2)gt25 then x belongs to

The funcction f(x)=x-[x]+cosx , where [x] is the greatest integer less than or equal to x, is a :

If f (x) = x - [x], x (ne 0 ) in R, where [x] is the greatest integer less than or equal to x, then the number of solutions of f(x) + f ((1)/(x)) = 1 is :

(a) Write four negative integers greater than -20.

A is the set of prime number less than 10, B is the set of odd numbers less than 10 and C is the set of even numbers of less than 10. Which of the following statements are true? (i) A subset B (ii) B subset A (iii) A subset C (iv) C subset A (v) B subset C (vi) phi subset A

If [x] denotes the greatest integer less than or equal to x, then the solution of ([x]-6)/(8-[x]) gt 0 is

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Let [x] = the greatest integer less than or equal to x and let f(x) = sinx + cosx . Then the most general solutions of f(x) = [f(pi/10)] are :

Prove that the Greatest Integer Function f: R to R, given by f (x) =[x], is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.

If [x] dnote the greatest integer less than or equal to x then the equation sin x=[1+sin x ]+[1-cos x ][ has no solution in