Question

solve the solution set: |3x - 5| = 10

Answer 1

for 3x - 5 you can have it equated to -10 & 10 since it can be both because of the absolute value sign.. so you'll have:
3x - 5 = 10 3x - 5 = -10
3x = 10 +5 3x = -10 +5
now you solve for the values of x

Answer 2

You have to solve two equations:

3x - 5 = 10

and

3x + 5 = 10

-------------

3x - 5 = 10

Add 5 to both sides:

3x = 15

Divide 3 to both sides:

x = 5

------------------

3x + 5 = 10

Subtract 5 to both sides:

3x = 5

Divide 3 to both sides:

x = 1/6


So x = 5 and 1/6.

Answer 3

it's not really 1/6 @iGreen but 5 is correct though.. try to substitute 1/6 to the equation and you'll end up with -4.5.. just sayin