A) x = 11 or x = −3. |x − 4| = 7 means x − 4 = 7 or x − 4 = −7. So x = 11 or x = −3.

Solve: |x − 4| = 7

A x = 11 or x = −3

B x = 3 or x = −11

C x = 11 only

D x = 3 only

✓ Correct Answer: Option A

|x − 4| = 7 means x − 4 = 7 or x − 4 = −7. So x = 11 or x = −3.

💡 Why is A) the correct answer?

The correct answer to the question "Solve: |x − 4| = 7" is Option A: x = 11 or x = −3.

The other options — B) x = 3 or x = −11, C) x = 11 only, D) x = 3 only — are incorrect for this SAT Exam Prep question. As explained above: |x − 4| = 7 means x − 4 = 7 or x − 4 = −7. So x = 11 or x = −3.

📚 About This SAT Exam Prep Practice Question

This 2-level SAT Exam Prep question from the Math (No Calculator) topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free SAT Exam Prep practice test or use flashcards for spaced repetition review.

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Solve: |x − 4| = 7

✓ Correct Answer: Option A

📚 About This SAT Exam Prep Practice Question

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