Algebra

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solve
x+21/x+3<2

x+21/x+3 - 2(x+3)/x+3 <0
x+21-2(x-3)/x+3<0
x+21-2x-6/x+3<0
answer
15-x/x-3<0(is this right?)

  • Algebra -

    You are close. They want you to find the values of x so that the equation the inequality is true. So just do that and you have your answer. I'll be happy to check you answer again when you are done.

    Just a note. When you are writing fractions horizontally, you have to put parenthesis around the numerator and the denominator. Otherwise like for your x+21/x+3
    It's the same as x + (21/x) + 3. The proper way to do it is (x+21)/(x+3) but anyways its very minor and you probably don't right fractions horizontally in real life, normally.

  • Algebra -

    Is this right?
    (15-x)/(x-3)<0
    15-x<0
    -x<-15
    answer is x>15
    x+3<0
    answer is x<-3

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