Question

choose the correct graph below x < 7 or x > 9 select the correct choice below and, if necessary, fill in the answer box to complete your choice. write the solution set in interval notation. simplify your answer. use integers or fractions for any numbers in the expression. (type your answer in interval notation.) the solution set is the solution set is

Explanation:

Step1: Analyze the inequality \(x < 7\) or \(x>9\).

The inequality \(x < 7\) represents all real - numbers less than 7, and \(x>9\) represents all real - numbers greater than 9.

Step2: Determine the interval notation.

For \(x < 7\), the interval is \((-\infty,7)\). For \(x>9\), the interval is \((9,\infty)\). The union of these two intervals gives the solution set \((-\infty,7)\cup(9,\infty)\).

Step3: Match with the graph.

The graph that has an open - circle at 7 and shading to the left, and an open - circle at 9 and shading to the right represents the solution set of \(x < 7\) or \(x>9\).

Answer:

The correct graph is the one that has an open - circle at \(x = 7\) with shading to the left and an open - circle at \(x = 9\) with shading to the right. The solution set in interval notation is \((-\infty,7)\cup(9,\infty)\)