Question

Select the ordered pair that are solutions to the inequality

2x-3y≥12


A. (1,-3)


B.(8,1)


C.(3,2)


D.(-2,-6)


E. (2,3)

Answer 1

B and D

Explanation:

If you plug in the numbers (x,y) you will see the only 2 that work are b and d

Answer 2

B & D

Explanation:

To find if an ordered pair is a solution to an inequality, substitute each pair and test if its true.

(1,-3)

`2(1)-3(-3)\geq 12\\2+9\geq 12\\11\geq 12`

False

(8,1)

`2(8)-3(1)\geq 12\\16-3\geq 12\\13\geq 12`

True

(3,2)

`2(3)-3(2)\geq 12\\6-6\geq 12\\0\geq 12`

False

(-2,-6)

`2(-2)-3(-6)\geq 12\\-4+18\geq 12\\14\geq 12`

True

(2,3)

`2(2)-3(3)\geq 12\\4-9\geq 12\\-5\geq 12`

False