Question

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

Explanation:

Step1: Solve the inequality

$$\begin{align*} 4x - 5&\gt3x-8\\ 4x-3x&\gt - 8 + 5\\ x&\gt-3 \end{align*}$$

Step2: Analyze the graph

When \(x\gt - 3\), on the number - line, there is an open circle at \(x = - 3\) (because the inequality is strict, \(x
eq-3\)) and the line extends to the right.

Answer:

The correct graph is the one with an open circle at \(-3\) and the line extending to the right. In interval notation, the solution set is \((-3,\infty)\)