Question

Solve the absolute value equation graph the solution 2 |3x-5| -8=8

x= -1 5/6 or x= 5/6
x= -1 or x= 4 1/3
x=-1 5/6 or x= 4 1/3
x= -1 5/6 or x= -1

Answer 1

B. x= -1 or x= 4 1/3

Explanation:

Answer 2

2 | 3x - 5 | - 8 = 8

=> 2 | 3x - 5 | = 8 + 8

=> 2 | 3x - 5 | = 16

=> | 3x - 5 | = 16 / 2

=> | 3x - 5 | = 8

=> 3x - 5 = 8 or 3x - 5 = - 8

=> 3x = 13 or 3x = - 3

=> x = 13 / 3 or x = - 1

=> x = 4 and 1/3 or x = - 1

So, the answer is the second option x = - 1 or x = 4 1/3

The graph of such solutions are just the point in the real line.

For x = 4 1/3, divide the segment from 4 to 5 in three equal parts (add two divisions between 4 and 5) and mark your point in the first division after 4.