Question

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

Find the errors in the work show.

Highlight all the errors and explain why they are wrong.

Then solve the problem correctly.

Show all work in your answer.

Answer 1

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.

Step-by-step 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
`(n)/(3)+4>0`

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

Solution:

`(n)/(3)+2>0`

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

`(n)/(3)+2-2>0-2\\\\(n)/(3)>-2`

Multiplying both sides by 3.

`3*(n)/(3)>-2*3\\\\n>-6`