Question

solve the inequality. graph the solution set and write it in interval notation.
4x - 5 > 3x - 6
choose the correct graph below

Explanation:

Step1: Solve the inequality

$$\begin{align*} 4x - 5 &> 3x - 6\\ 4x-3x&>-6 + 5\\ x&>-1 \end{align*}$$

Step2: Analyze the graph

The solution \(x > - 1\) means an open - circle at \(x=-1\) (since the inequality is strict, \(x
eq - 1\)) and the arrow going to the right (towards larger values of \(x\)).

Answer:

The solution in interval notation is \((-1,\infty)\). Among the options (assuming standard graph - marking where an open - circle at \(-1\) and right - arrow), if we assume the graph with an open - circle at \(-1\) and arrow to the right is one of the options (say option D if it has an open - circle at \(-1\) and arrow to the right), then the correct graph is the one with an open - circle at \(-1\) and the line extending to the right.