Solve the following inequalities (where `[]` denotes greatest integer function and `{}` represent fractional part function) `(i) [x+[x]] lt 0` `(ii)

Question

Solve the following inequalities (where `[]` denotes greatest integer function and `{}` represent fractional part function) `(i) [x+[x]] lt 0` `(ii)

Solve the following inequalities (where `[*]` denotes greatest integer function and `{*}` represent fractional part function)
`(i) [x+[x]] lt 0` `(ii) [2x^(2)-x] lt 1` `(iii) {x} lt (1)/(2)`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

Equation `[cot^(-1) x] + 2 [tan^(-1) x] = 0`, where `[.]` denotes the greatest integer function, is satisfied by

2 Answers 5 Views

Evaluate : (i) `int_(0)^(4)[x]^(2) dx` (where `[*]` denotes greatest integer function) (ii) `int_(0)^(pi)sqrt(1+sin2x)dx` , (iii) `int_(0)^(2)f(x)dx`

2 Answers 5 Views

Evaluate : (i) `int_(-1)^(2){2x}dx` (where function`{*}` denotes fractional part function) (ii) `int_(0)^(10x)(|sinx|+|cosx|) dx` (iii) `(int_(0)^(n)[

2 Answers 8 Views

If `[x]` denotes the greatest integer function. Draw a rough sketch of the portions of the curves `x^(2) = 4[sqrt(x)] y` and `y^(2) = 4[sqrt(y)]` x th

2 Answers 6 Views

Find period of the following functions (i) `f(x)="sin" x/2+"cos"x/3` (ii) `f(x)={x}+sinx,` where `{.}` denotes fractional part function (iii) `f(x)=4c

2 Answers 4 Views

Find the value of `{3^(2003)//28}, w h e r e{dot}` denotes the fractional part.

2 Answers 4 Views

If `p=(8+3sqrt(7))^n a n df=p-[p],w h e r e[dot]` denotes the greatest integer function, then the value of `p(1-f)` is equal to `1` b. `2` c. `2^n` d.

2 Answers 7 Views

Solve for `x` (where `[*]` denotes greatest integer function and `{*}` represent fractional part function) `(i) [2x]=1` `(ii) {x}^(2)+[x]=2` `(iii) 6{

2 Answers 5 Views

Solve the following equations (where `[*]` dentoes greatest integer function and `{*}` represent fractional part function) `(i) 2[x]+3[x]=4x-1` `(ii)

2 Answers 4 Views

Solve the following equations (where `[*]` denotes greatest integer function and `{*}` represent fractional part function and sgn represents signum fu

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - `(i) x in (-oo,0)` `(ii) x in ((-1)/(2),1)` `(iii) x in uuu_(n in I)[n,n+(1)/(2))`

5 views Answered 2023-02-05 15:29

Solve the following inequalities (where `[*]` denotes greatest integer function and `{*}` represent fractional part function) `(i) [x+[x]] lt 0` `(ii)

1 Answers

Related Questions

Solve the following inequalities (where `[]` denotes greatest integer function and `{}` represent fractional part function) `(i) [x+[x]] lt 0` `(ii)