Question

Which statement is correct? A) 13/ 3 < 4.25 < 43 /10 B) 43 /10 < 13 /3 < 4.25 C) 4.25 < 13 /3 < 43/ 10 D) 4.25 < 43 /10 < 13 /3

I NEED A CORRECT ANSWER!

Answer 1

D. 4.25 < 43/10 < 13/3

4.25 = 4.25
43/10 = 4.3
13/3 = 4.33

4.25 < 4.3 < 4.33

Answer 2

we will check each options

option-A:

`(13)/(3) <4.25<(43)/(10)`

we can write in decimal form

`4.3333 <4.25<4.3`

4.333 is always greater than 4.25

this is FALSE

option-B:

`(43)/(10) <(13)/(3) <4.25`

we can write in decimal form

`4.3 <4.333 <4.25`

this is FALSE

option-C:

`4.25<(13)/(3) <(43)/(10)`

we can change it into decimal form

`4.25<4.333 <4.3`

we know that

4.333>4.3

so, this is FALSE

option-D:

`4.25<(43)/(10) <(13)/(3)`

we can write in decimal form

and we get

`4.25<4.3 <4.333`

so, this is TRUE