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Select ordered pairs that are solutions to the inequality 2X minus 3Y is greater than or equal to 12. Answers a. (1,-3) b. (8,1) c. (3,2) d. (-2,-6) e. (2,3) f. (1,8)

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Answer:

b. (8,1)

d. (-2,-6)

Step-by-step explanation:

Given:

[tex]2x-3y\ge12[/tex]

We check for a. (1,-3).

[tex]2(1)-3(-3)\ge12[/tex]

[tex]2+9\ge12[/tex]

[tex]11\ge12[/tex]:False

We check for b. (8,1).

[tex]2(8)-3(1)\ge12[/tex]

[tex]16-3\ge12[/tex]

[tex]13\ge12[/tex]:True

We check for c. (3,2).

[tex]2(3)-3(2)\ge12[/tex]

[tex]6-6\ge12[/tex]

[tex]0\ge12[/tex]:False

We check for d. (-2,-6).

[tex]2(-2)-3(-6)\ge12[/tex]

[tex]-4+18\ge12[/tex]

[tex]14\ge12[/tex]:True

We check for e. (2,3).

[tex]2(2)-3(3)\ge12[/tex]

[tex]4-9\ge12[/tex]

[tex]-5\ge12[/tex]:False

We check for f. (1,8).

[tex]2(1)-3(8)\ge12[/tex]

[tex]2-24\ge12[/tex]

[tex]-22\ge12[/tex]:False

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