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Math Help - Another absolute value problem

  1. #1
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    Another absolute value problem

    How do yu find the AV of
    |x - 5| = 8
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  2. #2
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    Quote Originally Posted by xxLOLAxx View Post
    How do yu find the AV of
    |x - 5| = 8
    Two cases:

    Case 1:

    x-5=8



    Case 2:

    x-5=-8
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  3. #3
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    tHANKS. DO YU KNOW HOW TO FIND THE INEQUALITY OF
    |x| 4
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    Quote Originally Posted by xxLOLAxx View Post
    tHANKS. DO YU KNOW HOW TO FIND THE INEQUALITY OF
    |x| 4
    I'm not seeing your picture at all. Can you state the problem?
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  5. #5
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    THE PROBLEM SAYS Solve the inequality. Graph the solution set.
    |x| 4
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    Quote Originally Posted by xxLOLAxx View Post
    THE PROBLEM SAYS Solve the inequality. Graph the solution set.
    |x| 4
    I see the | x | and the 4. I do not see the inequality symbol between them. You can use your keyboard for >, <, >=, <=.

    Here are the general rules for absolute value inequalities:

    If |a| > b, then a < -b or a > b.

    If |a| < b, then -b < a < b.
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  7. #7
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    WHAT ABOUT IN THIS PROBLEM
    |x + 1| - 4 <= -1
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  8. #8
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    Quote Originally Posted by xxLOLAxx View Post
    WHAT ABOUT IN THIS PROBLEM
    |x + 1| - 4 <= -1
    |x+1|-4 \leq -1

    First, you would add 4 to both sides. You need to isolate the absolute value part of your inequality.

    |x+1| \leq 3

    Now, use the rule from my last post that applies.

    -3 \leq x+1 \leq 3

    Subtract 1 from each part of the inequality.

    -3 \leq x+1 \leq 3
    -1 \ \ \ \ \ \ -1 -1
    ------------------------

    -4 \leq x \leq 2

    Solultion set= { -4 \leq x \leq 2} or [-4, 2]
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  9. #9
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    WHAT IF THE PROBLEM IS LIKE THIS
    |x - 5| = |8 - x|
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  10. #10
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    Quote Originally Posted by xxLOLAxx View Post
    WHAT IF THE PROBLEM IS LIKE THIS
    |x - 5| = |8 - x|
    Square both sides. Then solve for x.

    x^2-10x+25=64-16x+x^2
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  11. #11
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    THANK YU SO MUCH
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