sirmansdecembe sirmansdecembe
  • 25-12-2014
  • Mathematics
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What is the solution to the compound inequality?

What is the solution to the compound inequality class=

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konrad509
konrad509 konrad509
  • 25-12-2014
[tex]7x+\dfrac{3}{4}\geq13|\cdot4\\ 28x+3\geq52\\ 28x\geq49\\ x\geq\dfrac{49}{28}\\x\geq\dfrac{7}{4}\\\\ \dfrac{5}{2}x-\dfrac{1}{3}\geq-\dfrac{11}{2}|\cdot6\\ 15x-2\geq-33\\ 15x\geq-31\\ x\geq-\dfrac{31}{15}\\\\ x\geq-\dfrac{31}{15} \vee x\geq\dfrac{7}{4}\\ \boxed{x\geq-\dfrac{31}{15}}[/tex]
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