Question

What is the solution to the compound inequality?

Answer 1

$7x+\dfrac{3}{4}\geq13|\cdot4\\ 28x+3\geq52\\ 28x\geq49\\ x\geq\dfrac{49}{28}\\x\geq\dfrac{7}{4}\\\\ \dfrac{5}{2}x-\dfrac{1}{3}\geq-\dfrac{11}{2}|\cdot6\\ 15x-2\geq-33\\ 15x\geq-31\\ x\geq-\dfrac{31}{15}\\\\ x\geq-\dfrac{31}{15} \vee x\geq\dfrac{7}{4}\\ \boxed{x\geq-\dfrac{31}{15}}$