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1 May, 15:51

On the set of axes, solve the following system of inequalities graphically.

Label the solution set S.

2x + 3y < - 3

y - 4x ≥ 2

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  1. 1 May, 16:05
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    2x + 3y < - 3 ⇒ 2x + 3y = - 3 ⇒ 2x + 3y = - 3

    -4x + y ≥ 2 ⇒ - 4x + y = 2 ⇒ - 12x + 3y = 6

    -14x = - 9

    -14 - 14

    x = ⁹/₁₄

    2x + 3y = - 3

    2 (⁹/₁₄) + 3y = - 3

    1²/₇ + 3y = - 3

    - 1²/₇ - 1²/₇

    3y = - 4²/₇

    3 3

    y = - 1³/₇

    The solution set is { (⁹/₁₄, - 1³/₇) }.
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