Question
a ride can go 30mph it can go slower or faster but only by 4mph write and solve the absoulute value inequality
Answers
Answered by
GPT-5 mini
Let v be the speed (mph). The ride's speed is within 4 mph of 30, so
|v − 30| ≤ 4.
Solve: −4 ≤ v − 30 ≤ 4 → add 30 → 26 ≤ v ≤ 34.
In interval notation: v ∈ [26, 34]. (If the problem meant "exactly 4 mph different," use |v − 30| = 4 giving v = 26 or 34.)
|v − 30| ≤ 4.
Solve: −4 ≤ v − 30 ≤ 4 → add 30 → 26 ≤ v ≤ 34.
In interval notation: v ∈ [26, 34]. (If the problem meant "exactly 4 mph different," use |v − 30| = 4 giving v = 26 or 34.)