Which ordered pairs are solutions to the inequality 3x-4y>5

Question

Which ordered pairs are solutions to the inequality 3x-4y>5

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Trúc Chi 3 years 2021-09-04T16:44:51+00:00 1 Answers 6 views 0

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    0
    2021-09-04T16:46:01+00:00

    Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.


    Answer:

    Please check the explanation.

    Step-by-step explanation:

    Given the inequality

    3x-4y>5

    All we need is to find any random value of ‘x’ and then solve the inequality.

    For example, putting x=3

    3\left(3\right)-4y>5

    9-4y>5

    -4y>-4

    \mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

    \left(-4y\right)\left(-1\right)<\left(-4\right)\left(-1\right)

    4y<4

    \mathrm{Divide\:both\:sides\:by\:}4

    \frac{4y}{4}<\frac{4}{4}

    y<1

    So, at x = 3, the calculation shows that the value of y must be less

    than 1 i.e. y<1 in order to be the solution.

    Let us take the random y value that is less than 1.

    As y=0.9 < 1

    so putting y=0.9 in the inequality

    3\left(3\right)-4\left(0.9\right)

    =9-3.6

    =5.4

    • As 5.4 > 5

    Means at x=3, and y=0.9, the inequality is satisfied.

    Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.

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