algebra

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2x+15 >= 13 and 2x-13 >= -5?
solve and graph
2x+15 >= 13
2x-13 >= -5

what's the solution x >= ?
and how does this appear on a line graph/number line?

  • algebra -

    2x>/=-2
    x >/= -1

    2x>/= 8
    x >/= 4

    x = 4 and everything to the right of x = 4

  • algebra -

    2X + 15 >= 13.
    2X - 13 >= -5
    Add the 2 Eq.
    4X + 2 >= 8
    Solve for X
    4X >= 6
    X >= 3 / 2 >= 1 1/2.
    Graph the solution:
    1. Draw a filled -in circle(dot) on the number line at 1 1/2. This means that X = 1 1/2 is a part of the solution.

    2. Starting at the dot, draw a straight line to the right on the number line. Extend this line pass all
    numbers on the right of the dot,
    which means all real numbers greater
    than 1 1/2 are a part of the solution.

    If your inequality did not have an
    equal sign (x > 1 1/2), the procedure
    would have been exactly the same
    except the circle would be left open
    (o) meaning the 1 1/2 is not a part of
    the solution. But all numbers above
    1 1/2 is a part of the solution.

    I hope this is helpful.

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