|3x - 4| < 10
That says 3x - 4 is between -10 and +10,
but not inclusive of either -10 or +10 since the symbols
of inequality are < and not <
And that is the same thing as saying:
-10 < 3x - 4 < 10
Add 4 to all three sides to get 3x alone in the middle
-10 < 3x - 4 < 10
+4 + 4 +4
-----------------
-6 < 3x < 14
Divide all three sides by 3 to solve for x in the middle:
< <
-2 < x <
Or in interval notation (-2,)
Edwin