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March 26, 2017

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solve the compound inequality
0<2x-4<8

  • math help re post - ,

    two parts to this problem

    1) 2x-4> 0
    2) 2x-4 <8

    solve each separately

    1) 2x > 4
    x>2

    2) 2x<12
    x<6

    if x is greater than 2 and less than 6 write it like this: 2<x<6

  • math help re post - ,

    I solve these all together by adding 4 to all 3 parts and then dividing all 3 parts by 2.

    that way, I don't have to worry about the directions of the inequalities.

    0<2x-4 <8
    4<2x<12
    2<x<6

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