I would like to highlight a common "gotcha" when dealing with solutions involving absolute values.

Lets consider answer option a)

|J| = 1/J (By the way (J ^ -1) = 1/J)This equation may seem to have 2 solutions

J = 1/J (OR) -J = 1/J

J^2 = 1 (OR) J^2 = -1Of the above, only J^2 = 1 makes sense.

This equation has 2 solutions, i.e J = +1 or -1, HOWEVER the uniqueness of absolute value equations is that

some of the solutions may NOT satisfy the original equation. One has to substitute the options BACK

into the original equation to check the feasibility.

In this case, J = -1 doesn't satisfy the original equation (

which is |J| = 1/J) , hence J = +1 is the only solution.

Be wary of equations involving absolute values ! Always substitute the answer choices back into the equation to evaluate

the feasibility

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