Question

solve the following inequality and graph the solution. 12x≤11x + 5. choose the graph of the solution set.

Explanation:

Step1: Solve the inequality

Subtract \(11x\) from both sides of \(12x\leq11x + 5\). We get \(12x-11x\leq11x + 5-11x\), which simplifies to \(x\leq5\).

Step2: Analyze the graph representation

The solution \(x\leq5\) is represented on a number - line with a closed circle at \(x = 5\) (because the inequality includes equality) and an arrow pointing to the left (towards smaller values of \(x\)).

Answer:

The correct graph is the one with a closed - circle at \(x = 5\) and an arrow pointing to the left. Without seeing the exact labels of the graphs clearly, but based on the description, it should match this description. If we assume the graphs are labeled A - F, you need to find the graph with a filled - in circle at 5 and an arrow going left.