Simplify | x + 1 |, when x

Simplify | x + 1 |, when x


x



When - 2 < x < 1, the reduction is: 2x + 5 - X - 1 = ()
When - 2 < x < 1, the reduction is: 2x + 5 - X - 1 = ()


=-(2x+5)-[-(x-1)]
=-2x-5+x-1
=-x-6



When x ≤ 0, simplify | 1-x | - √ x ^ 2


x≤0
So x0
|1-x|=1-x
x≤0
|x|=-x
So √ X & sup2; = | x | = - X
So the original formula = 1-x - (- x) = 1