Question

mode x+2 mode - mode x mode =2​

Answer 1

Answer:

the set of solutions is x≥0

or all positive real no.s

Step-by-step explanation:

I am guessing u mean

|x+2|-|x|=2

this is nothing but

|x+2|=|x|+2

Case 1

x≥0

then, everything is positive hence

x + 2 = x + 2

the entire condition satisfies

case 2

0>x≥-2

then eqn is

x+2=2-x

x=0( does not satisfy case )

case 3

x<-2

then equation is

- x - 2 = -x + 2 which is impossible.

show the only set of solutions we got it is x≥0