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

x __ __ over R

3 answers

To solve the inequality \( Rx > 10 \) where \( R \) is a positive number, you can divide both sides of the inequality by \( R \):

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

This simplifies to:

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

So in the context of filling in the blanks:

\( x > \frac{10}{R} \).

This shows the relationship between \( x \) and \( R \). Thus, the inequality solution can be stated as:

\( x \) is greater than \( \frac{10}{R} \) over \( R \).

this is not correct

I apologize for any confusion. Let's clarify the inequality \( Rx > 10 \) and determine the relationship between \( x \) and \( R \).

Given: \[ Rx > 10 \]

Since \( R \) is greater than 0, we can divide both sides by \( R \) without changing the direction of the inequality:

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

To express \( x \) relative to \( R \):

  1. Rearranging the inequality yields \( x \) on one side.
  2. Thus, we see that \( x \) must be greater than \( \frac{10}{R} \).

Inserting this into the initial format you requested:

The answer can be expressed as:

\( x > \frac{10}{R} \).

If you want the answer in a fill-in-the-blank format, it can be written as:

\( x > \frac{10}{R} \) over \( R > 0 \).

If there are specific details or formats you’d like to follow, please clarify!