Question

express the interval in set - builder notation and graph the interval on a number line.
4,8
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set in set - builder notation is {x | }
(type an inequality or a compound inequality)
b. the solution set is all real numbers.
c. there is no solution.

Explanation:

Step1: Interpret interval brackets

Square brackets $[a,b]$ mean $a \leq x \leq b$.

Step2: Write set-builder notation

For interval $[4,8]$, the inequality is $4 \leq x \leq 8$.

Answer:

A. The solution set in set-builder notation is $\{x \mid 4 \leq x \leq 8\}$

(For the number line graph: Draw a closed circle at 4 and a closed circle at 8, then shade the segment between the two circles.)