Pergunta

Practice identifying ordered pairs that are solutions to the linear inequality. Which of the following points are solutions to the equation ygt 3x-2 (Select all that apply.) (-3,-12) (-2,-5) (2,6) (3,10) (0,-3) (-1,0) (1,1)
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RaulProfissional · Tutor por 6 anos
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To determine which points are solutions to the inequality $y > 3x - 2$, we need to substitute the coordinates of each point into the inequality and check if the inequality holds true.<br /><br />Let's evaluate each point:<br /><br />1. $(-3,-12)$: $-12 > 3(-3) - 2$ simplifies to $-12 > -11$, which is false. So, this point is not a solution.<br /><br />2. $(-2,-5)$: $-5 > 3(-2) - 2$ simplifies to $-5 > -8$, which is true. So, this point is a solution.<br /><br />3. $(2,6)$: $6 > 3(2) - 2$ simplifies to $6 > 4$, which is true. So, this point is a solution.<br /><br />4. $(3,10)$: $10 > 3(3) - 2$ simplifies to $10 > 7$, which is true. So, this point is a solution.<br /><br />5. $(0,-3)$: $-3 > 3(0) - 2$ simplifies to $-3 > -2$, which is false. So, this point is not a solution.<br /><br />6. $(-1,0)$: $0 > 3(-1) - 2$ simplifies to $0 > -5$, which is true. So, this point is a solution.<br /><br />7. $(1,1)$: $1 > 3(1) - 2$ simplifies to $1 > 1$, which is false. So, this point is not a solution.<br /><br />Therefore, the points that are solutions to the inequality $y > 3x - 2$ are $(-2,-5)$, $(2,6)$, $(3,10)$, and $(-1,0)$.
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