Solve Linear Inequalities Practice

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Question
Solve the inequality Ay+3<12
, where A
is a number greater than 0.(1 point)
y
over A

Answer 1

To solve the inequality \( Ay + 3 < 12 \), where \( A \) is a number greater than 0, follow these steps:

1. Isolate the term with \( y \): \[ Ay < 12 - 3 \] Simplifying gives: \[ Ay < 9 \]

2. Divide both sides by \( A \) (since \( A > 0\), the direction of the inequality does not change): \[ y < \frac{9}{A} \]

Thus, the solution to the inequality is: \[ y < \frac{9}{A} \]

This means that \( y \) must be less than \( \frac{9}{A} \).