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

$(- 3, 1) 2 (- 3) - 3 (1) = - 6 - 3 = - 9 ≱ 12$

Steps

Step 1 ： $(1, - 3) 2 (1) - 3 (- 3) = 2 + 9 = 11 ≱ 12$

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

Step 3 ： $(3, 2) 2 (3) - 3 (2) = 6 - 6 = 0 ≱ 12$

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

Step 5 ： $(2, 3) 2 (2) - 3 (3) = 4 - 9 = - 5 ≱ 12$

Step 6 ： $(1, 8) 2 (1) - 3 (8) = 2 - 24 = - 22 ≱ 12$

Step 7 ： $(- 3, 1) 2 (- 3) - 3 (1) = - 6 - 3 = - 9 ≱ 12$