Question

write the interval in set - builder notation and graph the interval on a number line. 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|x > 7}. (use integers or fractions for any numbers in the expression.) b. the solution set is all real numbers. c. there is no solution. choose the correct answer below.

Explanation:

Step1: Analyze set - builder notation

The set - builder notation $\{x|x > 7\}$ represents all real numbers $x$ such that $x$ is greater than 7.

Step2: Graph on number line

On a number line, for $x>7$, we use an open - circle at 7 (since 7 is not included in the set) and draw an arrow to the right to represent all numbers greater than 7.

Answer:

A. The solution set in set - builder notation is $\{x|x > 7\}$. The correct graph is an open - circle at 7 and an arrow pointing to the right on the number line.