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Maths

More than one inequality - Higher

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    Make sure that you are familiar with Algebra / Solving equations before trying this Revision Bite.

    More than one inequality

    Example

    What values of s satisfy the inequalities -1 less than or equal to s < 6 and s > 0?

    If -1 less than or equal to s < 6, then s = -1, 0, 1, 2, 3, 4, 5

    If s > 0, then s = 1, 2, 3, 4, 5, 6, 7…

    The only values of s that satisfy both of these inequalities are 1, 2, 3, 4 and 5. So the solution is:

    1 less than or equal to s less than or equal to 5

    We can also see this on a number line:

    image: number line

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