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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)

1 Answer

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Answer:

b. (8,1)

d. (-2,-6)

Explanation:

Given:


2x-3y\ge12

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


2(1)-3(-3)\ge12


2+9\ge12


11\ge12:False

We check for b. (8,1).


2(8)-3(1)\ge12


16-3\ge12


13\ge12:True

We check for c. (3,2).


2(3)-3(2)\ge12


6-6\ge12


0\ge12:False

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


2(-2)-3(-6)\ge12


-4+18\ge12


14\ge12:True

We check for e. (2,3).


2(2)-3(3)\ge12


4-9\ge12


-5\ge12:False

We check for f. (1,8).


2(1)-3(8)\ge12


2-24\ge12


-22\ge12:False
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