Mathematics

Question

Help plz ,I’m having some difficulties
Help plz ,I’m having some difficulties

2 Answer

  • Step-by-step explanation:

    | x - 2 | < 4

    Start at x=2.  Go 4 units in either direction: x=-2 and x=6.  Draw empty circles around each.  Since it's less than, the line goes between the circles, connecting them.  The result should look like this:

    desmos.com/calculator/k2bujixjtx

    | x + 2 | > 4

    Start at x=-2.  Go 4 units in either direction: x=-6 and x=2.  Draw empty circles around each.  Since it's greater than, the line goes outside of the circles.  The result should look like this:

    desmos.com/calculator/sk1cxob0tg

  • Answer:

    Step-by-step explanation:

    3.

    |x-2|<4

    -4<x+2<4

    subtract 2 from each inequality

    -4-2<x+2-2<4-2

    -6<x<2

    4.

    |x+2|>4

    x+2<-4 and x+2>4

    or x+2-2<-4-2 and x+2-2>4-2

    or x<-6 and x>2

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