Question

solve the following inequality - 3x≥15. what is the graph of the solution? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the solution set is (type your answer in interval notation) b. the solution set is ∅

Explanation:

Step1: Solve the inequality - 3x≥15

Divide both sides by - 3. When dividing an inequality by a negative number, the direction of the inequality sign changes. So we have $x\leq - 5$.

Step2: Analyze the graph representation

The solution $x\leq - 5$ is represented on a number - line as a closed circle at - 5 (because the inequality includes equality, i.e., $x$ can be equal to - 5) and an arrow pointing to the left (towards smaller numbers).

Answer:

The graph that has a closed - circle at - 5 and an arrow pointing to the left is the correct one. Without seeing the specific labels of the graphs clearly, if we assume the standard way of graphing inequalities on a number - line, the graph with a closed - circle at - 5 and an arrow extending to the left is the solution graph.