Question

solve the inequality and find the graph that represents the correct answer. 2b + 2 < 10

Explanation:

Step1: Subtract 2 from both sides

$$\begin{align*} 2b+2 - 2&<10 - 2\\ 2b&<8 \end{align*}$$

Step2: Divide both sides by 2

$$\begin{align*} \frac{2b}{2}&<\frac{8}{2}\\ b&<4 \end{align*}$$

Since \(b < 4\), the graph should have an open circle at \(4\) (because \(4\) is not included in the solution set) and the line should point to the left (towards smaller numbers).

Answer:

The first graph (with an open circle at \(4\) and the line pointing to the left) represents the solution \(b < 4\).