Question

  1. Soive the equation for .

    A. -8
    B. -3
    C. -2
    D. -8 and -3
    E. -8 and -2

Ask by Wagner Chandler. in China
Jan 03,2025

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Answer

The solutions are and , so the answer is D.

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Mind Expander

To solve the equation , we can break it down into two cases based on the definition of absolute value. The first case is when , leading to . The second case is when , giving . Thus, the solutions are and , which corresponds to option D: -8 and -3.
It’s fun to think of absolute value as the distance from zero on a number line. No matter if you step left or right, it’s all about how far you are from that starting point! This little property of numbers allows us to break equations into manageable parts, making problem-solving more approachable and engaging.

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