Respuesta :

3(n+6)   ≥    3n+8

Start by distributing....

3n +  18  
≥    3n + 8 

Subtract 3n from both sides to get the n's on the same side....

18  ≥    8 

There are no solutions because 18 is not less than or equal to 8

Answer:

The correct option is B) all real numbers.

Step-by-step explanation:

Consider the provided inequity.

[tex]3(n+6)\geq 3n+8[/tex]

We need to solve the inequity for n.

[tex]3(n+6)\geq 3n+8[/tex]

[tex]3n+18\geq 3n+8[/tex]

Subtract 3n from both sides

[tex]3n-3n+18\geq 3n-3n+8[/tex]

[tex]18\geq 8[/tex]

Which is true for any real number. As 18 is greater than 8.

Hence, the value of n is all real numbers.

Thus the correct option is B) all real numbers.