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Anonymous asked in Education & ReferenceHomework Help · 1 decade ago

Need questions answered on System of Linear Equations & Inequalites. 10 points for answering!!!?

13.) Which inequality has (-2, -8) as a solution?

(a) 3x + 6y _> - 51

(b) 6x - 2y _> 7

(c) -2x + 3y _< -23

(d) None of these

14.) Determine which ordered pair (x, y) is a solution of

2x - 3y _> -12.

(a) (-2, 6)

(b) (3, 7)

(c) (4, 6)

(d) (-4, 3)

15.) Which of the given ordered pairs are not solutions to the system of inequalities?

2x + 3y > 1

2x - 3y < 1

(2, 3), ( -4, 3), (2, 5), (1, -4), (-3, -5)

16.) Determine whether (5, 2) is a solution of 3x + y _< 16. Explain.

2 Answers

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  • 1 decade ago
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    13) D none of them

    14) C 2(4)-3(6)> -12

    8-18>-12

    -10 > -12

    15) (-4,3) ; (1,-4); (-3,-5)

    16) NO; 3(5) +2 not <16

    15+2 not < 16

    17 not < 16

    Source(s): math teacher
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  • 1 decade ago

    13. Plug in the points to see if it works.

    a) 3(-2) + 6(-8) = -6-48=-54 which is not >= -51

    b) 6(-2)-2(-8)=-12+16=4 which is not >= 7

    c) -2(-2)+3(-8)=4-24=-20 which is not <= -23

    d) This is the answer.

    14. Again plug in the point.

    a) 2(-2) - 3(6) = -4-18=-22 which is not >= -12

    b) 2(3) - 3(7) = 6-21=-15 which is not >= -12

    c) 2(4) - 3(6) = 8-18=-10 which is >= -12 This is the answer.

    d) 2(-4) - 3(3) = -8-9=-17 which is not >= -12

    15a) (2,3) ----> Yes Yes (This works)

    b) (-4,3) ----> No (=) Yes (Not a solution)

    c) (2,5) ----> Yes Yes (This works)

    d) (1,-4) ----> No No (Not a solution)

    e) (-3,-5) ----> No No (Not a solution)

    16) No, since 3(5)+2=17 which is not <=16

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