Question

For the following exercises, solve the equations below and express the answer using set notation.

14. 2| 4 − x | = 7

Answer 1

Answer: 1/2, 15/2

Explanation:

to solve this absolute value equation, all you need to do is divide the 2 over to the other side of the equation, giving:

|4-x|=7/2

and then you can remove the absolute value symbols and make 2 equations:

4-x=7/2

4-x=-7/2

solve these and you're done!