Question

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

Explanation:

Step1: Understand set - builder notation

The interval $(-\infty, 4)$ represents all real numbers $x$ such that $x<4$. In set - builder notation, it is written as $\{x|x < 4\}$.

Step2: Analyze number - line graph

For the inequality $x < 4$, on a number line, we use an open - circle at $x = 4$ (since $4$ is not included in the set) and draw an arrow to the left to represent all numbers less than $4$.

Answer:

A. The solution set in set - builder notation is $\{x|x < 4\}$.
C. The correct graph is the one with an open - circle at $4$ and an arrow pointing to the left.