Answer:
Explanation:
To solve this inequality graphically, we need to find the values of x that make the inequality true. We can start by looking at the absolute value expression on its own.
The absolute value of a number is always non-negative, so we can split the inequality into two cases: when the expression inside the absolute value is positive, and when it is negative.
For the first case, we have:
3|2x - 4| > 6
2x - 4 > 0
x > 2
For the second case, we have:
3|2x - 4| > 6
2x - 4 < 0
x < 2
So, the solution to the inequality is the union of these two cases: x > 2 or x < 2. In interval notation, this is written as (-infinity, 2) U (2, infinity).