Question

Consider the absolute value inequality |x - 3| > 2.
Part 1: Using complete sentences, explain whether this inequality will be an "and" compound inequality (conjunction) or an "or" compound inequality (disjunction) and why.
Part 2: Provide the solution to the inequality and describe the graph in complete sentences.

Answer 1

\( \color{Black}{\Rightarrow |x - 3| > 2 \Longrightarrow x - 3 > 2, x - 3 < -2}\)

Answer 2

Geometrically, the distance of x - 3 from 0 is more than 2 on the number line.

Answer 3

Convert that into a mathematical sentence, and you'd get the answer yourself.