Answer:
Solution: [tex]n>-6[/tex]
Step-by-step explanation:
Error
Doug made mistake in the first step by adding 2 to both sides.
Doug made mistake in representing the solution in number line.
Explanation:
In order to solve for n we need to isolate [tex]n[/tex]. Adding 2 both sides will not eliminate 2 on left side. Instead it will make it [tex]\frac{n}{3}+4>0[/tex]
In the number line if solution is [tex]n>-6[/tex] the the point -6 is not included.
Solution:
[tex]\frac{n}{3}+2>0[/tex]
On subtracting 2 both sides will eliminate 2 on left side.
[tex]\frac{n}{3}+2-2>0-2\\\\\frac{n}{3}>-2[/tex]
Multiplying both sides by 3.
[tex]3\times\frac{n}{3}>-2\times3\\\\n>-6[/tex]
