8(2j-6)>2(4j-4)

Here we assume j is a real variable (not √(-1)).

8(2j-6)>2(4j-4)
Divide by 2 and expand both sides
8j-24 > 4j-4
Divide by 4:
2j-6 > j-1
Subtract j from each side:
j-6 > -1
Add 6 to each side:
j > 5

To solve the inequality 8(2j-6) > 2(4j-4), we need to simplify and isolate the variable.

First, distribute the values inside the parentheses:
16j - 48 > 8j - 8

Next, combine like terms:
16j - 8j > -8 + 48
8j > 40

To isolate the variable j, divide both sides of the inequality by 8:
(8j) / 8 > 40 / 8
j > 5

Therefore, the solution to the inequality 8(2j-6) > 2(4j-4) is j > 5.