Question

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)

Answer 1

Answer:

b. (8,1)

d. (-2,-6)

Step-by-step 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