Question

1. solve the inequality and graph the solution.

(19 + g > 16)

a.

b.

c.

d.

Explanation:

⚡ Using what you learned: Solving One-Step Inequalities

Step 1: Solve the inequality

Isolate the variable \( g \) by subtracting \( 19 \) from both sides of the inequality:

$$ 19 + g > 16 $$

$$ g > 16 - 19 $$

$$ g > -3 $$

Step 2: Identify the correct graph

To graph \( g > -3 \):

• Use an open circle at \( -3 \) because the inequality uses "greater than" (\( > \)) and does not include the value \( -3 \) itself.
• Draw an arrow pointing to the right to represent all numbers greater than \( -3 \).

Comparing this to the options:

• a. Open circle at \( 3 \), arrow pointing left.
• b. Open circle at \( -3 \), arrow pointing right.
• c. Open circle at \( 3 \), arrow pointing right.
• d. Open circle at \( -3 \), arrow pointing left.

The correct graph is b.

Answer:

b