Question

graph the inequality on a number line. then write the solution in interval notation. {x| - 5 < x < 7} select the correct graph below

Explanation:

Step1: Analyze the inequality

The inequality is $- 5

Step2: Determine the graph

The correct graph will have an open circle at - 5, an open circle at 7, and the line segment between them shaded.

Step3: Write in interval notation

In interval notation, when the endpoints are not included (due to the strict inequalities $<$), we use parentheses. The interval notation for $-5 < x<7$ is $(-5,7)$.

Answer:

The correct graph is the one with open circles at - 5 and 7 and the line segment between them shaded. The solution in interval notation is $(-5,7)$.