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

Answer

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Answer

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

Steps

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