Learn the four ways to eliminate absolute value bars:
1. is equivalent to this: " "
2. is equivalent to this: " "
3. is equivalent to this: " "
4. is equivalent to this: " "
Yours is case 1:
|6x-5| < 10 is equivalent to
-10 < 6x-5 < 10
We solve for x in the middle:
Add +5 to all three sides like this:
-10 < 6x-5 < 10
+5 +5 +5
-5 < 6x < 15
Dow divide all three sides by 6
< x <
The fraction on the right reduces to < x <
In interval notation that is:
Edwin