Answer:
C
Step-by-step explanation:
Given
| 6x - 5 | = 7
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
6x - 5 = 7 ( add 5 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
OR
- (6x - 5) = 7 ← distribute parenthesis on left side by - 1
- 6x + 5 = 7 ( subtract 5 from both sides )
- 6x = 2 ( divide both sides by - 6 )
x = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
Then solutions are x = 2, x = - [tex]\frac{1}{3}[/tex] → C
