Answer : The correct option is, (D) addition property of inequality.
Step-by-step explanation :
Transitive property of inequality : If one value (a) is less than another value (b) which is less than another value (c) then the first value (a) is also less than third value (c).
If, a < b, b < c
then, a < c
Addition property of inequality : If we add the same number to both side of an inequality then it remains true.
For example :
x - 4 > 5
x - 4 + 4 > 5 + 4
x > 9
Division property of inequality : If we divide the same number to both side of an inequality then it remains true.
For example :
If, x < y
then, [tex]\frac{x}{2}<\frac{y}{2}[/tex]
From this we conclude that, addition property of inequality is used between step 3 and step 4.
Step 3: -6x - 8 < -2
Adding +8 on both side of inequality, we get:
-6x - 8 + 8 < -2 +8
Step 4: -6x < 6
Hence, the correct option is, (D) addition property of inequality.
