Brewer Gibbs
02/21/2023 · Elementary School

\( \frac { x + y } { ( x + 5 ) \cdot x } < 0 \)

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To solve the inequality \( \frac{x + y}{(x + 5) \cdot x} < 0 \), determine the intervals where the expression is negative based on the value of \( y \): - **If \( y < -5 \):** \( x < -y \) or \( -5 < x < 0 \) - **If \( -5 < y < 0 \):** \( x < -5 \) or \( -y < x < 0 \) - **If \( y > 0 \):** \( x < -5 \) These intervals are where the inequality holds true.

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