Question

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

Answer 1

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

Solution:

Given inequality is:

`4n + 6 > 22`

Substitute n = 2

`4(2) + 6 > 22\\\\8 + 6 > 22`

14 is not greater than 22

Thus, n = 2 does not satisfy the given equation

Substitute n = 3

4(3) + 6 > 22

12 + 6 > 22

18 is not greater than 22

Thus, n = 3 does not satisfy the given equation

Substitute n = 4

4(4) + 6 > 22

16 + 6 > 22

22 is equal to 22

Thus, n = 4 does not satisfy the given equation

Substitute n = 5

4(5) + 6 > 22

20 + 6 > 22

26 > 22

26 is greater than 22

Thus, n = 5 satisfies the given equation