Question

what is the solution set for the equation 2x + (the positive value of x) = -2

Answer 1

you mean 2+ |x| =-2 ??

Answer 2

**2x +|x| = -2

Answer 3

yes the second way, thanks

Answer 4

so, first subtract 2x from both sides,
what u get ?

Answer 5

correct
now if |a| = b

then a=b or a=- b


so what about -2x-2 = |x|
?

Answer 6

confused ? tried ?

Answer 7

-2?

Answer 8

we get 2 equations for
-2x-2 = |x|

First : -2x-2 = x

and 2nd : -2x-2 =-x

got this ?

Answer 9

so can you solve those individually ?

Answer 10

-2 and -2/3

Answer 11

good work! correct :)

now last step is to verify that these are actually the solutions.
plug in x=-2 first (and then x=-2/3)
in the original equation and verify that left side equals right side or not ?

Answer 12

absolutely correct :)
so only one solution
x=-2 :)

Answer 13

thanks!

Answer 14

welcome ^_^