Question

solve for f.
503 < 803 - 3f

Explanation:

Step1: Subtract 803 from both sides

To isolate the term with \( f \), we subtract 803 from both sides of the inequality \( 503 < 803 - 3f \). This gives us \( 503 - 803 < -3f \). Calculating the left - hand side: \( 503-803=-300 \), so the inequality becomes \( - 300 < - 3f \).

Step2: Divide both sides by - 3 and reverse the inequality sign

When we divide both sides of an inequality by a negative number, the direction of the inequality sign changes. We divide both sides of \( -300 < - 3f \) by - 3. So we have \( \frac{-300}{-3}>\frac{-3f}{-3} \). Calculating the left - hand side: \( \frac{-300}{-3} = 100 \), and the right - hand side simplifies to \( f \). So the inequality is \( 100>f \) or \( f < 100 \).

Answer:

\( f < 100 \)