Question

select the correct choice below and, if necessary, fill in the answer box to complete your choice. the solution set in - set - builder notation is {x | - 1 ≤ x ≤ 6} (type an inequality or a compound inequality.) a. the solution set is all real numbers. b. the solution set is ∅. c. there is no solution. d. choose the correct graph below.

Explanation:

Step1: Analyze the inequality

The inequality is \(-1\leq x\leq6\). This means \(x\) is greater than or equal to \(- 1\) and less than or equal to \(6\).

Step2: Determine graph features

On a number - line graph, we use closed circles at \(-1\) and \(6\) (because of the \(\leq\) signs) and shade the region between them.

Answer:

The correct graph will have a closed - circle at \(x = - 1\), a closed - circle at \(x = 6\), and the region between them shaded. Without seeing the actual graphs A, B, C, D in detail, the correct graph should match this description. If we assume the standard number - line orientation, it will be a graph with filled - in dots at \(-1\) and \(6\) and a line segment connecting them.