Nick88888888
  • Nick88888888
Solving Rational Equations and Inequalities 1.Solve the quantity x plus 5 divided by 4 x is greater than 3 2. Solve the quantity x plus 3 divided by 3 x is greater than 2 3. Solve x divided by the quantity x minus 6 is less than 2
Mathematics
jamiebookeater
  • jamiebookeater
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Nick88888888
  • Nick88888888
so how would i do these step by step?
Nick88888888
  • Nick88888888
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anonymous
  • anonymous
here it is simple \[\frac{ x+5 }{ 4x }>3\] this will lead to x+5>12x we will make all the Xs in a side and the numbers in the otherside so it will be 5>12x-x so it would be 5>11x the final end \[\frac{ 5 }{ 11 } >x\]

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anonymous
  • anonymous
the solutrion would be x=]∞,5/11[
anonymous
  • anonymous
Equation 2 \[\frac{ x+3 }{ 3x }>2\] x+3>6x 3>6x-x 3>5x\[\frac{ 3 }{ 5 } >x\] solution will be ]∞,3/5[
anonymous
  • anonymous
Equation 3 \[\frac{ x }{ x-6 }<2\] \[x<2x-12\] \[12<2x-x\] \[12

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