Question

solve for g.
5g - 3 < -8

Explanation:

Step1: Add 3 to both sides

To isolate the term with \( g \), we add 3 to both sides of the inequality \( 5g - 3 < -8 \). This gives us \( 5g - 3 + 3 < -8 + 3 \), which simplifies to \( 5g < -5 \).

Step2: Divide both sides by 5

To solve for \( g \), we divide both sides of the inequality \( 5g < -5 \) by 5. Since 5 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{5g}{5} < \frac{-5}{5} \), which simplifies to \( g < -1 \).

Answer:

\( g < -1 \)