Which value of satisfies ?
Answer and explanation
Correct answer: B.
- Step 1: Split into linear cases. Case 1: . Check right side: , which is impossible for an absolute value, so is extraneous.
- Step 2: Case 2: .
- Step 3: Verify : , and , which holds true.
Answer
.
Why not the others: is an extraneous solution that produces an invalid negative value for the absolute value expression.
Practise more Linear equations in one variable.
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