-2x - 8 > -12
-2x - 8 + 2x > -12 + 2x ...... add 2x to both sides
-8 > -12 + 2x
-8+12 > -12+2x+12 .... add 12 to both sides
4 > 2x
2x < 4 ..... flip both sides so that the x term is on the left side
2x/2 < 4/2 .... divide both sides by 2
x < 2
This describes the set of x values such that x is less than 2.
The largest integer that x can be is x = 1. The value of x cannot be 2 because we don't have an "or equal to" as part of the inequality sign.
Final Answer: 1
