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dorin2

  • one year ago

Solve the inequality |x-3|<2

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  1. samsterz
    • one year ago
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    1<x<5 that sound right?

  2. samsterz
    • one year ago
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    It's 1<x<5

  3. samsterz
    • one year ago
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    @dorin2

  4. dorin2
    • one year ago
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    how to go about

  5. samsterz
    • one year ago
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    want me to explain it, is that what ur asking?

  6. samsterz
    • one year ago
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    im 99.99% sure its right nearly , the only mistake that there could possibly be is that somehow i cant see the problem correctly

  7. samsterz
    • one year ago
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    |x−3|<2 Remove the absolute value term. This creates a ± on the right-hand side of the equation because |x|=±x. x−3<±(2) Set up the + portion of the ± solution. x−3<2 Move all terms not containing x to the right-hand side of the inequality. x<5 Set up the − portion of the ± solution. When solving the − portion of an inequality, flip the direction of the inequality sign. x−3>−(2) Multiply −1 by the 2 inside the parentheses. x−3>−2 Since −3 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 3 to both sides. x>3−2 Subtract 2 from 3 to get 1. x>1 The solution to the inequality includes both the positive and negative versions of the absolute value. x<5 and x>1 The solution is the set of values where x<5andx>1. 1<x<5

  8. samsterz
    • one year ago
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    Thats how u solve it, ur welcome

  9. dorin2
    • one year ago
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    Thank you.....

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