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Solve the compound inequality. y - 3 > 5 OR y + 3 < -2

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Answer: y < -5 or y > 8

Explanation:


y-3>5\quad \text{or}\quad y+3<-2\\\underline{\ \ \ +3}\ \underline{\ +3}\qquad \underline{\quad \ \ -3}\ \underline{\ \ \ -3}\\y\quad \ \ >8\quad \text{or}\quad y\quad \ \ <-5

Graph: ←---------o -1 8 o------------→

Interval Notation: (-∞, -5) ∪ (8, ∞)

User Pablo Boswell
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