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( / means absolute value)

Solve: 3+/2y-1/>=1. Graph the solution set on a number line.

The number line I have is:
-5 -4 -3 -2 -1 0 1 2 3 4 5 6

I'm confused on what to do.

  • Math -

    3+ │2y-1│ ≥ 1 or
    │2y-1│ ≥ -2

    this has an intuitive solution.
    by the definition of absolute value, the left side can only be positive or zero.

    any positive value or zero ≥ -2

    so the solution would be the entire number set. So draw a solid line on your number line with arrows in either direction.

  • Math -

    I have to show my work so is that ALL I have to do? 3+ ©¦2y-1©¦ ¡Ý 1 or
    ©¦2y-1©¦ ¡Ý -2

  • Math -

    by saying,
    "by definition │anything│ ≥ -2" you have shown your work.

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