Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?

(1 – n) – 3 = 1/2(4 – 3n)
3 – (1 – n) = 1/2(4 – 3n)
(n – 1) – 3 = 1/2(3n – 4)
3 – (n – 1) = 1/2(3n – 4)

Respuesta :

Answer:

The last option is the correct option.   [tex]3-(n-1)=\frac{1}{2}(3n-4)[/tex]

Step-by-step explanation:

Given statement is:   "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”

If the number is [tex]n[/tex] , then "the difference of a number and one" means  [tex](n-1)[/tex]

Now "three minus the difference of a number and one" means  [tex]3-(n-1)[/tex]

"The difference of three times the same number and four" means  [tex](3n-4)[/tex] and then "one-half of it" means  [tex]\frac{1}{2}(3n-4)[/tex]

Thus, the expression will be:   [tex]3-(n-1)=\frac{1}{2}(3n-4)[/tex]

Answer:

[tex]3-(n-1)=\frac{1}{2}(3n-4)[/tex]

Step-by-step explanation:

"three minus the difference of a number and one" this phrase can be written in mathematical form as, 3-(n-1)

and

"one-half of the difference of three times the same number and four" this phrase is written in mathematical form as [tex]3-(n-1)=\frac{1}{2}(3n-4)[/tex]

according to given statement when above both phrases equals then it is written as mention bellow;

[tex]3-(n-1)=\frac{1}{2}(3n-4)[/tex]

Hence the last provided expression is correct.