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## Nick88888888 one year ago 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

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1. Nick88888888

so how would i do these step by step?

2. Nick88888888

|dw:1438019949732:dw|

3. 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 $\frac{ 5 }{ 11 } >x$

4. anonymous

the solutrion would be x=]∞,5/11[

5. 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[

6. anonymous

Equation 3 $\frac{ x }{ x-6 }<2$ $x<2x-12$ $12<2x-x$ $12<x$ solution will be $]12,∞[$

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