Question

which graph represents the solution set for the inequality 20 ≥ x + 16? a. graph a b. graph b c. graph c d. graph d

Explanation:

Step1: Solve the inequality

Start with the inequality \(20 \geq x + 16\). Subtract 16 from both sides: \(20 - 16 \geq x + 16 - 16\), which simplifies to \(4 \geq x\) or \(x \leq 4\).

Step2: Analyze the graph features

For the solution \(x \leq 4\), the graph should have a closed circle (since the inequality is "less than or equal to") at 4 and an arrow pointing to the left (indicating all values less than or equal to 4). We need to identify which of the graphs (A, B, C, D) has this feature. (Assuming one of the graphs has a closed circle at 4 and left - pointing arrow)

Answer:

(The correct graph option, e.g., if Graph A has a closed circle at 4 and arrow left, then) A. Graph A