Answer:
{x | -6 < x < 7}
Step-by-step explanation:
|2x - 4| <10
if (2x - 4) is positive:
2x - 4 < 10
2x < 10 + 4
2x < 14
Divide both sides by 2
x < 7
if (2x - 4) is negative:
-1(2x-4) < 10
-2x + 4 < 10
-2x < 10 - 4
-2x < 6
Divide both sides by 2, and we'll have
-x < 6
Interchange the positions of - x and 6 so that the expression - x will be positive:
- 6 < x
Final answer:
-6 < x < 7
