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math

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solve the inequality
8/x+3/4/<2 used / / for brakets around x+3/4
possible answers
x<-1 or x>-1/2
-5/32<x<5/32
-1<x<-1/2
x<-5/32 or x>5/32
not looking for just the answer but help on how to do it

  • math - ,

    8(x + 3/4) < 2
    8x + 6 < 2
    8x < -4
    x < -1/2

    Ahh. by brackets you mean || for absolute value?

    8|x + 3/4| < 2
    if x+3/4 >= 0, then
    x < -1/2 as above

    if x+3/4 < 0, then
    -8(x + 3/4) < 2
    -8x - 6 < 2
    -8 < 8x
    x > -1

    -1 < x < -1/2

  • math - ,

    Thank you for explaining

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