Concept:The inequality ∣x−2∣<3 means the distance between x and 2 is less than 3.Explanation:Rewrite the absolute value inequality as a compound inequality:−3<x−2<3Add 2 to every part to isolate x:−3+2<x<3+2Simplify:−1<x<5So x must be greater than −1 and less than 5.Answer:−1<x<5This corresponds to option C.