➢a. (1,-1) Substitute x=1 and y=-1 into the inequality: 3(1)≥12-6(-1) → 3≥12+6 → 3≥18, which is false.
➢ b. (4,0) Substitute x=4 and y=0 into the inequality: 3(4)≥12-6(0) → 12≥12, which is true.
➢ c. (6,3) Substitute x=6 and y=3 into the inequality: 3(6)≥12-6(3) → 18≥12-18 → 18≥-6, which is true.
➢ d. (0,5) Substitute x=0 and y=5 into the inequality: 3(0)≥12-6(5) → 0≥12-30 → 0≥-18, which is true.
➢ e. (-2,8) Substitute x=-2 and y=8 into the inequality: 3(-2)≥12-6(8) → -6≥12-48 → -6≥-36, which is true.
➢ a. (0,0) Substitute x=0 and y=0 into the inequality: 3(0)≥2(0)-6 → 0≥-6, which is true.
➢ b. (3,-4) Substitute x=3 and y=-4 into the inequality: 3(-4)≥2(3)-6 → -12≥6-6 → -12≥0, which is false.
➢ c. (0,-2) Substitute x=0 and y=-2 into the inequality: 3(-2)≥2(0)-6 → -6≥-6, which is true.
➢ d. (-9,-1) Substitute x=-9 and y=-1 into the inequality: 3(-1)≥2(-9)-6 → -3≥-18-6 → -3≥-24, which is false.
➢e. (-5,6) Substitute x=-5 and y=6 into the inequality: 3(6)≥2(-5)-6 → 18≥-10-6 → 18≥-16, which is true.
➤ look at the picture
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For inequality 3x≥12-6y, we need to determine which ordered pairs (x, y) satisfy the condition:
➢a. (1,-1) Substitute x=1 and y=-1 into the inequality: 3(1)≥12-6(-1) → 3≥12+6 → 3≥18, which is false.
➢ b. (4,0) Substitute x=4 and y=0 into the inequality: 3(4)≥12-6(0) → 12≥12, which is true.
➢ c. (6,3) Substitute x=6 and y=3 into the inequality: 3(6)≥12-6(3) → 18≥12-18 → 18≥-6, which is true.
➢ d. (0,5) Substitute x=0 and y=5 into the inequality: 3(0)≥12-6(5) → 0≥12-30 → 0≥-18, which is true.
➢ e. (-2,8) Substitute x=-2 and y=8 into the inequality: 3(-2)≥12-6(8) → -6≥12-48 → -6≥-36, which is true.
For inequality 3y≥2x-6, we need to determine which ordered pairs (x, y) satisfy the condition:
➢ a. (0,0) Substitute x=0 and y=0 into the inequality: 3(0)≥2(0)-6 → 0≥-6, which is true.
➢ b. (3,-4) Substitute x=3 and y=-4 into the inequality: 3(-4)≥2(3)-6 → -12≥6-6 → -12≥0, which is false.
➢ c. (0,-2) Substitute x=0 and y=-2 into the inequality: 3(-2)≥2(0)-6 → -6≥-6, which is true.
➢ d. (-9,-1) Substitute x=-9 and y=-1 into the inequality: 3(-1)≥2(-9)-6 → -3≥-18-6 → -3≥-24, which is false.
➢e. (-5,6) Substitute x=-5 and y=6 into the inequality: 3(6)≥2(-5)-6 → 18≥-10-6 → 18≥-16, which is true.
For inequality -4y<2x-12, we need to determine which ordered pairs (x, y) satisfy the condition:
➤ look at the picture