Answer:
27 < 5*n +7
n<4
Step-by-step explanation:
Twenty-seven is smaller than five times a number increased by seven
Increase means add
27 < 5*n +7
Subtract 7 from each side
27-7 <5n+7-7
20 < 5n
Divide by 5
20/5 < 5n/5
4 <n
Yes, there was a mistake in applying the distributive property. If you have to perform

you have to multiply both terms in the parenthesis by 3, not just the first one.
So, the correct expansion would be

Option B:
Both n and m must be rational.
Solution:
Given information:
Sum of two numbers, n and m are rational.
<u>To find which statements are true:</u>
Option A: Both n and m may be rational but do not have to be.
It is not true because n and m given is rational.
It have to be rational.
Option B: Both n and m must be rational.
Yes, n and m must be rational then only the sum of numbers are rational.
It is true.
Option C: Both n and m must be irrational.
Sum of irrationals will be sometimes irrational and sometimes can't add.
So it is not true.
Option D: One number is rational and the other is irrational.
Rational and irrational cannot be add.
So it is not true.
Option B is true.
Both n and m must be rational.
5 kg is more precise because if you said 5212 g, they will be trying to see what the precise answer is so if you say 5 kg that will save all of the work.
P.S.: its not 5212 g, its 5000 g. :)