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Math Help - Interval Notation

  1. #1
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    Interval Notation

    4. Solve the following equation and write your solution as a solution set.

    3 + |7-4x| = 15

    5. Solve the following inequality and write the solution set in interval notation.

    |8x+2| < 14
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by mjfaris View Post
    4. Solve the following equation and write your solution as a solution set.

    3 + |7-4x| = 15

    5. Solve the following inequality and write the solution set in interval notation.

    |8x+2| < 14

    3 + |7-4x| = 15
    |7-4x| = 15 -3
    |7-4x| = 12

    so 7-4x = 12 or 7-4x = -12

    x = -5/4 , x = 19/4

    x ={-5/4,19/4}

    the inequality

    |8x+2| < 14

    |x| < a that means -a< x < a

    -14 < 8x+2 < 14

    -16 < 8x < 12

    -2 < x < 3/2

    x\in(-2 , 3/2)
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