Question

Solve the inequality Rx > 10 , where R is a number greater than 0.(1 point)

Answer 1

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

Answer 2

To solve the inequality \( Rx > 10 \), where \( R > 0 \), we can divide both sides of the inequality by \( R \) (since \( R \) is positive, the direction of the inequality will not change):

\[
x > \frac{10}{R}
\]

Thus, the solution to the inequality is:

\[
x > \frac{10}{R}
\]

This means that \( x \) must be greater than \( \frac{10}{R} \).

Answer 3

To solve the inequality \( Ay + 3 < 12 \), where \( A > 0 \), we can follow these steps:

1. Subtract 3 from both sides of the inequality:

\[
Ay < 12 - 3
\]

This simplifies to:

\[
Ay < 9
\]

2. Next, divide both sides by \( A \). Since \( A > 0 \), the direction of the inequality will remain the same:

\[
y < \frac{9}{A}
\]

Thus, the solution to the inequality is:

\[
y < \frac{9}{A}
\]

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