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Which ordered pairs are solutions to the inequality –3x + y ≥ 7? choose all answers that are correct.

Posted on October 23, 2021 By Jessiegarrison1 1 Comment on Which ordered pairs are solutions to the inequality –3x + y ≥ 7? choose all answers that are correct.

Which ordered pairs are solutions to the inequality –3x + y ≥ 7?

choose all answers that are correct.

(–2, –3)

(3, 18)

(0, 7)

(1, 9)

(–1, 8)

Mathematics

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Comment (1) on “Which ordered pairs are solutions to the inequality –3x + y ≥ 7? choose all answers that are correct.”

  1. Celsie says:
    October 23, 2021 at 7:20 am

    Q1. The answers are (–1, 8), (0, 7), (3, 18)

    –3x + y ≥ 7
    Let's go through all choices:

    (–2, –3) 
    (-3) * (-2) + (-3) ≥ 7
    6 - 3 ≥ 7
    3 ≥ 7       INCORRECT

    (–1, 8) 
    (-3) * (-1) + 8 ≥ 7
    3 + 8 ≥ 7
    11 ≥ 7       CORRECT

    (0, 7) 
    (-3) * 0 + 7 ≥ 7
    0 + 7 ≥ 7
    7 ≥ 7       CORRECT

    (1, 9) 
    (-3) * 1 + 9 ≥ 7
    -3 + 9 ≥ 7
    6 ≥ 7       INCORRECT

    (3, 18) 
    (-3) * 3 + 18 ≥ 7
    -9 + 18 ≥ 7
    9 ≥ 7       CORRECT

    Q2. The answers are:
    5x + 12y ≤ 80
    x ≥ 4
    y ≥ 0

    x - small boxes
    y - large boxes

    He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each on a shelf that holds up to 80 lb:
    5x + 12y ≤ 80

    Jude needs at least 4 small boxes on the shelf: x ≥ 4

    Let's check if y can be 0:
    5x + 12y ≤ 80
    5x + 12 * 0 ≤ 80
    5x + 0 ≤ 80
    5x ≤ 80
    x ≤ 80 / 5
    x ≤ 16

    x ≥ 4 can include x ≤ 16

    So, y can be 0: y ≥ 0

    Reply

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