Question

describe the relationship between n and 4 that will make the value of the expression 7×n/4 greater than 7​

Answer 1

In this exercise we have the following expression:

`7* (n)/(4)`

We can solve this problem by taking a look at n:

• What happens if
  `n=4`? Well,
  `(4)/(4)=1` then:

`7* (4)/(4)=7`

As you can see in this case, the result is 7 and this is not greater than 7 but equal.

• What happens if
  `n<4`? Well, let's say
  `n=3`, then
  `(3)/(4)=0.75` then:

`7* 0.75=5.25`

As you can see in this case, the result is 5.25 and this is not greater than 7 but less than 7

• What happens if
  `n>4`? Well, let's say
  `n=5`, then
  `(5)/(4)=1.25` then:

`7* 1.25=8.75`

As you can see in this case, the result is 8.75 and this is greater than 7. In conclusion, the relationship between n and 4 that will make the value of the expression 7×n/4 greater than 7​ is:

n must be greater than 4:
`n>4`