How do you solve the inequality #abs(2x-4)>=6#?
Move like terms and solve.
- 2x - 4
We need to consider two ranges since the absolute value will make the function change sign at some value. We first need to find this value, which we do by finding when the bit inside the absolute value is equal to
So, we need to look at when
Since the value inside the absolute value function is positive in this range, we can just remove it:
In this range, the function in the absolute value will be negative, so we multiply it by
Now we want to divide by
Combining the two ranges
We can just combine the two ranges to get that