Our current inequality is:
-11 > 6 -2n -5
To solve for this, we need to get 2n on one side by itself and then simplify.
Since we have 6 and -5 with -2n, we need to do the opposite order of equations for each.
The opposite of 6 is -6
Remember, what you do to one side of an equation, you must do to the other.
Subtract 6 from both sides.
-11 -6 = -17
6 - 6 = 0
Your new inequality is:
-17 > -2n - 5
Now we must get -2n by itself.
The opposite of -5 is 5.
Add 5 to both sides.
-17 + 5 = -12
-5 + 5 = 0
Your new inequality is:
-12 > -2n
To solve for n, we must do the opposite order of equations.
Since -2 is being multiplied by n, divide both sides by -2.
-12 / -2 = 6
-2n / -2 = n
Remember to flip the inequality sign when dividing/multiplying by a negative.
Your final inequality is:
n <_ 6
I hope this helps!