Question

find the value of x if (|x|-1)(|x|-2)>=0​

Answer 1

we can take this equation in 2 formats

a) 1/(x+1) =0

b) (1/x)+1=0

Solution for (a)

there is no solution for this….because if we assume x=-1 then it will be 1/0 format….. hence its ∞ & if we assume x=0 then it will be 1 ….. 1 !=0 & ∞ !=0

1/(x+1)=0

Multiplying by x+1 on both sides,

1/(x+1)⋅(x+1)=0⋅(x+1)

1=0 but 1 !=0 hence no solution

Solution for (b)

1/x+1=0

1/x=−1

1=−1⋅x

x=−1