MATH SOLVE

4 months ago

Q:
# describe the relationship between n and 4 that will make the value of the expression 7Γn/4 greater than 7β

Accepted Solution

A:

Answer:In this exercise we have the following expression:[tex]7\times \frac{n}{4}[/tex]We can solve this problem by taking a look at n:What happens if [tex]n=4[/tex]? Well, [tex]\frac{4}{4}=1[/tex] then:[tex]7\times \frac{4}{4}=7[/tex]As you can see in this case, the result is 7 and this is not greater than 7 but equal.What happens if [tex]n<4[/tex]? Well, let's say [tex]n=3[/tex], then [tex]\frac{3}{4}=0.75[/tex] then:[tex]7\times 0.75=5.25[/tex]As you can see in this case, the result is 5.25 and this is not greater than 7 but less than 7What happens if [tex]n>4[/tex]? Well, let's say [tex]n=5[/tex], then [tex]\frac{5}{4}=1.25[/tex] then:[tex]7\times 1.25=8.75[/tex]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 7Γn/4 greater than 7β is:n must be greater than 4: [tex]n>4[/tex]