Question

solve the following inequality. graph the solution set and write it in interval notation. 13x < 12x + 1. choose the graph of the solution set. 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

Subtract \(12x\) from both sides of \(13x<12x + 1\). We get \(13x-12x<12x + 1-12x\), which simplifies to \(x < 1\).

Step2: Interpret the graph

The solution \(x < 1\) on a number - line is represented by an open circle at \(x = 1\) (since \(x\) is strictly less than 1) and an arrow pointing to the left.

Answer:

The solution set in interval notation is \((-\infty,1)\). The correct graph is the one with an open - circle at \(x = 1\) and an arrow pointing to the left. Without seeing the exact labels of the graphs, if there is a graph with an open - circle at \(1\) and an arrow pointing left, that is the correct graph.