Problem 23 of 35alg-023
Which of the following describes all real values of for which ?
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Solution walkthrough2:00
- Absolute value is distance from . So says is less than units from .
- Less than units from means between and . Write .
- Subtract from all three parts: .
- Divide all three parts by . Dividing by a negative number flips both signs: .
- Read it from small to large: . The endpoints are left out because the sign is , not .
- Traps: A solves only , B adds instead of subtracting, and D is the answer for .