Problem

Select the ordered pairs that are solutions to the inequality \( 2 x-3 y \geq 12 \). \( (1,-3) \) \( (8,1) \) \( (3,2) \) \( (-2,-6) \) \( (2,3) \) \( (1,8) \) \( (-3,1) \)

Solution

Step 1 :\( (1,-3)\: 2(1)-3(-3) = 2+9 = 11 \not\geq 12 \)

Step 2 :\( (8,1)\: 2(8)-3(1) = 16-3 = 13 \geq 12 \)

Step 3 :\( (3,2)\: 2(3)-3(2) = 6-6 = 0 \not\geq 12 \)

Step 4 :\( (-2,-6)\: 2(-2)-3(-6) = -4+18 = 14 \geq 12 \)

Step 5 :\( (2,3)\: 2(2)-3(3) = 4-9 = -5 \not\geq 12 \)

Step 6 :\( (1,8)\: 2(1)-3(8) = 2-24 = -22 \not\geq 12 \)

Step 7 :\( (-3,1)\: 2(-3)-3(1) = -6-3 = -9 \not\geq 12 \)

From Solvely APP
Source: https://solvelyapp.com/problems/19045/

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