Solve |2x - 5| = 4. {x | x = 0.5 or x = 4.5}
{x | 0.5 < x < 4.5}
{x | x = -4.5 or x = 4.5}

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  (x | x = 0.5 or x = 4.5}

Step-by-step explanation:

The given equation resolves to two:

  2x -5 = 4

  2x = 9 . . . . . . add 5

  x = 9/2 = 4.5 . . . . divide by 2

and ...

  2x -5 = -4

  2x = 1 . . . . . . add 5

  x = 1/2 = 0.5 . . . . divide by 2

Then the solution set is ...

  (x | x = 0.5 or x = 4.5} . . . . . . matches the first choice