−2n−3>

−4n+6

To solve this inequality, we need to combine like terms and isolate the variable n.

−2n − 3 > −4n + 6

To begin, let's add 4n to both sides to get rid of the variable term on the right side:

−2n + 4n − 3 > −4n + 4n + 6

Next, combine like terms:

2n - 3 > 6

Now, let's add 3 to both sides to isolate the variable term:

2n - 3 + 3 > 6 + 3

Simplifying further:

2n > 9

Finally, divide both sides by 2 to solve for n:

n > 9/2 or n > 4.5

Therefore, the solution to the inequality is n > 4.5.