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!

Question

contestada

Respuesta :

ShadowDemon40 ShadowDemon40 · Answer 1 · 2018-04-24T22:01:30+02:00

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 Link

rejkjavik rejkjavik · Answer 2 · 2018-08-23T01:14:29+02:00

we will check each options

option-A:

[tex] \frac{13}{3} <4.25<\frac{43}{10} [/tex]

we can write in decimal form

[tex] 4.3333 <4.25<4.3 [/tex]

4.333 is always greater than 4.25

this is FALSE

option-B:

[tex] \frac{43}{10} <\frac{13}{3} <4.25 [/tex]

we can write in decimal form

[tex] 4.3 <4.333 <4.25 [/tex]

this is FALSE

option-C:

[tex] 4.25<\frac{13}{3} <\frac{43}{10} [/tex]

we can change it into decimal form

[tex] 4.25<4.333 <4.3 [/tex]

we know that

4.333>4.3

so, this is FALSE

option-D:

[tex] 4.25<\frac{43}{10} <\frac{13}{3} [/tex]

we can write in decimal form

and we get

[tex] 4.25<4.3 <4.333 [/tex]

so, this is TRUE