Solve:
2x + 3 = |4x - 7|
Thanks for your help!
There are two cases to consider:
1. 4x-7>=0
then we need to solve:
2x+3 = 4x-7
which has solution: x=5, which we need to check satisfies the assumed
condition 4x-7 >=0, which it does so x=5 is a solution.
2. 4x-7<0
then we need to solve:
2x+3 = -(4x-7)
or:
6x = 4,
so x=2/3. Now check this in the assumed condition 4x-7<0, which it passes
so x=2/3 is also a solution.
Hence the solutions are x=5, and x=2/3.
RonL