Problem 30 of 7
Solve the absolute-value inequality |x + 3| <= 4 and write the interval solution.
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produce bounded interval.
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Inequality must be distance less than or less than/equal to a positive value, producing a bounded interval.
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Your answer is equivalent to the expected form.
Walkthrough
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1. For |x - a| <= b, x is within b units of a.
2. Subtract and add b around the center.
3. Use open endpoints for strict inequality and closed endpoints for inclusive inequality.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Two-ray union for a less-than distance statement.