Question

Which of the following sets shows all the numbers from the set {2, 3, 4, 5} that are part of the solution to the inequality 4n + 6 > 22?

Answer 1

The answer is 5 only
4(5)+6= 26
26>22

Answer 2

The answer is 5 only.
Well, in this type of question, we just simply need to find the value of n

4n + 6 > 22

4n > 22 - 6

4n > 16

n > 4

From the set, the only number that bigger than 4 is 5.


For proof:
- first, try to replace n with 4
4 (4) + 6 > 22
22 > 22 ..................................Wrong

- then we can try to replace n with a number that is bigger than 4
4(5) + 6 >22
26 > 22 ..................................Correct