Question

Solve for x: |x − 2| + 10 = 12

x = 0 and x = 4

x = −4 and x = 0

x = −20 and x = 4

No solution

Answer 1

why

Answer 2

|x-2|=12-10=2

Answer 3

You have to solve two equations:

x - 2 + 10 = 12

and

x + 2 + 10 = 12

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

x - 2 + 10 = 12

Add:

x + 8 = 12

Subtract 8 to both sides:

x = 4

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

x + 2 + 10 = 12

Add:

x + 12 = 12

Subtract 12 to both sides:

x = 0

Answer 4

now mode will alwys give positive value

Answer 5

So your answer is x = 4, x = 0(Option A).

Answer 6

so to remove mode to condition will be there
\[x-2=\pm 2\]

Answer 7

x-2=2 -----> x=2+2=4--->X=4
x-2=-2----->X=-2+2---->X=0

Answer 8

what is the anwer