Multiple Choice Question (MCQ)

Which point (x, y) is a solution to the given inequality y < −4x + 4 in

the xy-plane?

  1. ×

    (2, −1)

  2. ×

    (2, 1)

  3. ×

    (0, 5)

  4. (−4, 0)

Collected in the board: Inequality

Steven Zheng posted 3 days ago

Answer

  1. (2, −1)

    f(x) = −4x + 4

    f(2) = -4\cdot 2 +1 = -7

    -1 > -7

    Therefore

    A is incorrect

  2. (2, 1)

    f(x) = −4x + 4

    f(2) = -4\cdot 2 +1 = -7

    1 >-7

    Therefore

    B is incorrect

  3. (0, 5)

    f(x) = −4x + 4

    f(2) = -4\times 0 +1 = 1

    5 > 1

    Therefore

    C is incorrect

  4. (−4, 0)

    f(x) = −4x + 4

    f(-4) = -4\times (-4) +1 = 17

    0 < 17

    Therefore

    D is correct

Steven Zheng posted 3 days ago

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