-2x - 11 > -23
11 is subtracting on the left, then it will add on the right
-2x > -23 + 11
-2x > -12
-2 is multiplying on the left, then it will divide on the right. Remember that when you divide by a negative number, the symbol changes
x < (-12)/(-2)
x < 6
The only option in the solution set is 5
