Question

solve the inequality. graph the solution. 5(g + 4) > 15 the solution is \boxed{}.

Explanation:

Step1: Divide both sides by 5

To isolate the term with \( g \), we divide both sides of the inequality \( 5(g + 4) > 15 \) by 5. This gives us \( \frac{5(g + 4)}{5} > \frac{15}{5} \), which simplifies to \( g + 4 > 3 \).

Step2: Subtract 4 from both sides

Next, we subtract 4 from both sides of the inequality \( g + 4 > 3 \) to solve for \( g \). So, \( g + 4 - 4 > 3 - 4 \), which simplifies to \( g > -1 \).
For the graph, since the inequality is \( g > -1 \), we use an open circle at \( -1 \) (because \( -1 \) is not included in the solution) and draw an arrow to the right to represent all values greater than \( -1 \).

Answer:

The solution to the inequality \( 5(g + 4) > 15 \) is \( g > -1 \). The graph should have an open circle at \( -1 \) on the number line with an arrow pointing to the right.