Please provide an image of the question. If you still want an explanation for problem 13, please don't close the session before I am done with the session.
In our previous session we were analysing the following absolute value equation when the session was abruptly closed:
3 | - 8 x | + 8 = 80
we subtracted 8 to both sides to isolate the term in "x" on the left
3 | - 8 x | = 80 - 8
3 | - 8 x| = 72
divide both sides by 3:
|- 8 x| = 72 / 3
|- 8 x| = 24
Now remove the absolute value bars considering:
1) That the expression inside it is POSITIVE so we DON'T change anything when removing the bars:
- 8 x = 24
now we divide boths sides by "- 8"
x = 24 / (- 8)
x = - 3
Then, when x = -3 notice that the expression - 8 x becomes -8 * (-3) = 24
corroborating that the expression inside the bars was a posotive number.
2) Considering the case that "- 8 x" is NEGATIVE , then when removing the absolute value bars we CHANGE the sign of the expression into:
8 x
Then we have:
8 x = 24
divide by 8 both sides
x = 24 / 8
x = 3
Then we have TWO answers to this equation:
x = -3 and x = 3
both satisfy the equation.
