Question

graph the set. (-∞, 7) use the tools to enter your answer. write the set in set - builder notation. {x | x ≤ 7} {x | x < 7} {x | -∞ ≤ x ≤ 7} {x | -∞ ≤ x < 7}

Explanation:

Step1: Understand interval notation

The open - interval $(-\infty,7)$ represents all real numbers less than 7.

Step2: Determine set - builder notation

The set - builder notation for all real numbers $x$ such that $x$ is less than 7 is $\{x|x < 7\}$.

Step3: Graph the set

On the number line, we use an open circle at 7 (since 7 is not included in the set $(-\infty,7)$) and draw an arrow to the left to represent all numbers less than 7.

Answer:

• Set - builder notation: $\{x|x < 7\}$
• Graph: Place an open circle at 7 on the number line and draw an arrow to the left.