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23 May, 10:40

How do you solve |x-1| + 5=2?

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  1. 23 May, 10:43
    0
    The answer is No Solutions! Here's how

    1. Subtract 5 from both sides |x-1|=2-5

    2. Simplify 2-5 to - 3 |x-1|=-3

    3. Break down the problem into these 2 equations

    x-1=-3 and - (x-1) = -3

    4. Solve the 1st equation: x=-2

    5. Solve the 2nd equation: x=4

    6. Collect all solutions x=-2,4

    7. Check first solution: When x=-2x=-2, the original equation |x-1|+5=2∣x-1∣+5=2 does not hold true. We will drop x=-2x=-2 from the solution set.

    8. Check second solution: When x=4x=4, the original equation |x-1|+5=2∣x-1∣+5=2 does not hold true. We will drop x=4x=4 from the solution set.

    So there are no solutions

    All the best!
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