The solution to the Absolute Value Inequality 2|x - 3| < 7 are; x < 13/2
or x > -1/2.
We want to solve the Absolute Value Inequality;
2|x - 3| < 7
Now, this inequality simply means we have 2 possible equations which are; 2(x - 3) < 7 or -2(x - 3) < 7
2(x - 3) < 7
2x - 6 < 7
Add 6 to both sides to get;
2x < 13
x < 13/2
or -2(x - 3) < 7
-2x + 6 < 7
6 - 7 < 2x
x > -1/2
Read more about Absolute Value Inequality at; https://brainly.com/question/13282457
#SPJ1