Question

express the interval in set - builder notation and graph the interval on a number line.
4,9
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: Recall interval to inequality

The interval \([4, 9]\) includes all real numbers \(x\) such that \(x\) is greater than or equal to 4 and less than or equal to 9.

Step2: Write the compound inequality

In set - builder notation, this is expressed as \(4\leq x\leq9\). So the set - builder notation for the interval \([4,9]\) is \(\{x\mid4\leq x\leq9\}\), and we choose option A.

Answer:

A. The solution set in set - builder notation is \(\{x\mid 4\leq x\leq9\}\)