Question 80014
Solve the inequality, then graph the solution.

-3n-5>-4n-7

1- Add -2n to each side to begin solving for n.
-2n+(-2n) -5 > -4n+(-2n) -7
-5 > -6n-7

2- Add 7 to each side.
-5+7 > -6n-7+7
2 >-6n

3- Divide each side by -6. Note: In inequalities, the sign changes when you divide by a negative number.
2/-6 < -6n/-6
-1/3 < n

4. The solution is -1/3 < n. The graph is shown below.

{{{ graph( 300, 200, -5/6, 5/6, -5/6, 5/6, -1/3 < n) }}}