solve linear inequality

Check the final answer first, then review the worked steps.

Problem

solve linear inequality

Answer

\(g < -1\)

Step-by-step solution

1. Isolate the term with the variable: To solve the inequality $3g + 17 < 14$, we first need to isolate the term containing $g$. We do this by subtracting $17$ from both sides of the inequality:
$$3g + 17 - 17 < 14 - 17$$
$$3g < -3$$

2. Solve for g: Now, divide both sides of the inequality by $3$ to solve for $g$. Since we are dividing by a positive number, the direction of the inequality sign remains the same:
$$\frac{3g}{3} < \frac{-3}{3}$$
$$g < -1$$