Algebra

Determine whether the given numbers are solutions of the inequality. y-8>2y-3

4, -11, -19, -1
(are any of these numbers a solution to the inequality?)

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  1. Given
    y-8>2y-3 ... (1)
    Find if 4, -11, -19, -1 are solutions to the inequality (1):
    1. y=4
    4-8>2(4)-3 ?
    -4 > 5 ?
    since -4<5, the answer is no, 4 is not a solution to (1)
    2. y=-11
    -11-8 > 2(-11)-3 ?
    -19 > -25 ?
    Draw this on the number line:
    ....-25......-19.......-1 0 1 2 3 4...
    Since -19 is to the right of -25 on the number line, we conclude that yes, y=-11 is a solution to inequality (1).

    Continue this way for the other two cases.

    Post for checking if you wish.

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