Question #6445492Fill in the Blank
Algebra-1
Question
Solve the absolute value inequality . The solution set is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve an absolute value inequality where the absolute value is greater than or equal to a number and express the solution in interval notation.
This question tests the student's ability to solve an absolute value inequality where the absolute value is greater than or equal to a number and express the solution in interval notation.
Key Concept Explanation
The key concept here is understanding that when the absolute value is greater than or equal to a number, the solution involves two separate intervals.
The key concept here is understanding that when the absolute value is greater than or equal to a number, the solution involves two separate intervals.
Step-by-step Solution
1. Isolate the absolute value expression:
2. Set up two separate inequalities: or
3. Solve the first inequality:
Subtract 15 from both sides:
1. Isolate the absolute value expression:
2. Set up two separate inequalities: or
3. Solve the first inequality:
Subtract 15 from both sides:
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