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graph the set {x | x < 2} on the number line. then, write the set using…

Question

graph the set {x | x < 2} on the number line. then, write the set using interval notation.

Explanation:

Step1: Graph on number - line

Draw an open circle at 2 (since x is less than 2, not equal to 2) and shade the line to the left of 2.

Step2: Write in interval notation

The set of all real numbers x such that x < 2 is written as $(-\infty, 2)$.

Answer:

On the number - line: Open circle at 2, shade to the left. Interval notation: $(-\infty, 2)$