SOLUTION: Solve and write the solution using interval notation 2[5x-1]<6

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Question 303295: Solve and write the solution using interval notation
2[5x-1]<6
Found 2 solutions by Fombitz, nyc_function:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Do your brackets "[ ]" signify absolute value or are they just brackets?
If they're only brackets, then,
2%285x-1%29%3C6
5x-1%3C3
5x%3C4
x%3C4%2F5

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Isolate the absolute value by dividing both sides by 2.
|5x - 1| = 6/2
|5x - 1| = 3
Make two cases.
Case one:
5x - 1 = 3
5x = 3 + 1
5x = 4
x = 4/5
Case Two:
5x - 1 = -3
5x = -3 + 1
5x = -2
x = -2/5
Now check by plugging BOTH values of x just found into the original absolute value equation that was given to you. If you get the answer on BOTH sides of the equation (after simplifying), then you'll know if the answers are correct or not.
I'll let you do the checking.