Mathematics

Question

3x-4y>12
which order pair (x,y) satisfies the inequality?

1 Answer

  • For this case we have the following inequality:

    [tex]3x-4y> 12[/tex]

    We must find an ordered pair of the form [tex](x, y)[/tex] that meets the inequality.

    Example:

    Pair 1: [tex](x, y) :( 0,0)[/tex]

    [tex]3 (0) -4 (0)> 12\\0> 12[/tex]

    This pair does not satisfy the inequality.

    Pair 2: [tex](x, y) :( 6,1)[/tex]

    [tex]3 (6) -4 (1)> 12\\18-4> 12\\14> 12[/tex]

    This pair satisfies the inequality!

    Thus, the pair[tex](x, y) :( 6,1)[/tex] meets the inequality.

    Answer:

    [tex](x, y) :( 6,1)[/tex]

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