Find the solution set (values of X) for the following inequality
|3X - 2| <= |2X - 5|.
Tricky one...did a lot of plugging in numbers.
-3<= x <= 7/5
Plugged in numbers to find the lower limits. Also, realized that when x is neg, both sides of the equation (within the absolute value) are negative. Therefore, we can solve:
2-3x <= 5-2x
Plugged in x = 1 , Worked
Plugged in x = 2, Did not work
So I know the upper limits is between 1 and 2. Looking at the problem, I also know that when x = 1, the right side of the equation is negative and the left side is positive (within the absolute value).
So to find the upper limit I reversed the right side of the equation:
3X - 2 <= 5 - 2X
x <= 7/5