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

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: Graph the solution

On a number - line, we use an open circle at \(x = 1\) (because \(x\) is strictly less than 1, not equal to 1) and draw an arrow to the left to represent all values of \(x\) that are less than 1.

Step3: Write in interval notation

The interval notation for \(x<1\) is \((-\infty,1)\).

Answer:

The solution in interval notation is \((-\infty,1)\). The graph of the solution set has an open - circle at \(x = 1\) and an arrow pointing to the left. Without seeing the exact options clearly labeled with values on the number - line, we can't choose from the given lettered options, but the correct graph would have an open circle at \(x = 1\) and an arrow extending to the left.