Question

Verify that |-x|=| x| for the following values when x =4/7

Answer 1

Answer:

given

|x|=|-x|

let LHS

|x|

given x=4/7

therefore |x|=4/7......eqn1

let RHS.|-X|=|-4/7|

because modullas of x =+-x

we have to take only +ve value

therefore|-x|=|-4/7|=4/7......eqn 2

from eqn 1 and 2

LHS=RHS

HENCE VERIFIED

HOPE IT WILL HELP YOU IN YOUR STUDY'S ✌️

Answer 2

Answer:

given

Ixl=l-xl

let LHS

Ixl

given x=4/7

therefore Ixl=4/7..eqn1

let RHS.I-XI=1-4/7|

because modullas of x =+-X

we have to take only +ve value

therefore l-xl=l-4/71=4/7...equation 2

from eqn 1 and 2

LHS=RHS

HENCE VERIFIED