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how do you solve -4<2x-3<4

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  1. -4 < 2X-3 < 4.
    This is a compound inequality which
    states that 2X-3 is greater than -4 and
    less than 4.

    Add 3 to each side and the center:
    -4 + 3 < 2x-3+3 < 4 + 3,
    -1 < 2X < 7,
    Divide both sides and the center by 2:
    -1/2 < X < 7/2.

    Any value of x between -1/2 and 7/2
    will satisfy the given inequality.

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