Question

question 1 - 12 which graph represents the solution to the following inequality? \\( \frac { 1 } { 2 } ( 6 x - 4 ) \leq 7 \\)

Explanation:

Step1: Solve the inequality

$$\begin{align*} \frac{1}{2}(6x - 4)&<7\\ 6x-4&<14\\ 6x&<18\\ x&<3 \end{align*}$$

Step2: Analyze the graph

• A closed - circle means the number is included in the solution set, and an open - circle means the number is not included.
• Since \(x < 3\), we have an open - circle at \(x = 3\) (because \(3\) is not part of the solution) and the arrow points to the left (towards smaller numbers).

Answer:

The graph with an open - circle at \(x = 3\) and the arrow pointing to the left represents the solution.