Question

1. which of the following graphs correctly represents the solution of the inequality ( 8a - 15>73 )?

Explanation:

Step1: Solve the inequality

$$\begin{align*} 8a - 15&>73\\ 8a-15 + 15&>73+ 15\\ 8a&>88\\ \frac{8a}{8}&>\frac{88}{8}\\ a&>11 \end{align*}$$

Step2: Analyze the graph

The solution \(a > 11\) means an open - circle at \(11\) (because \(a\) is not equal to \(11\)) and the arrow should point to the right (towards larger values of \(a\)).

Answer:

The second option (the graph with an open - circle at \(11\) and the arrow pointing to the right) represents the solution of the inequality \(8a-15 > 73\).