Question

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 \( \frac{9}{A} \).