Question

Doug was trying his best, but he still made some mistakes.

Answer 1

Answer:

Solution:  $n>-6$

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 $n$. Adding 2 both sides will not eliminate 2 on left side. Instead it will make it $\frac{n}{3}+4>0$

In the number line if solution is $n>-6$ the the point -6 is not included.

Solution:

$\frac{n}{3}+2>0$

On subtracting 2 both sides will eliminate 2 on left side.

$\frac{n}{3}+2-2>0-2\\\\\frac{n}{3}>-2$

Multiplying both sides by 3.

$3\times\frac{n}{3}>-2\times3\\\\n>-6$