Answer
$[2\frac{2}{3},\infty)$
Work Step by Step
$\frac{3x}{4}\geq2$
Solve for x.
Multiply both sides by 4.
$\frac{3x}{4}\times4\geq2\times4$
$3x\geq8$
Divide both sides by 3.
$3x\div3\geq8\div3$
$x\geq2\frac{2}{3}$
In interval notation this is written as
$[2\frac{2}{3},\infty)$
where [ indicates that the solution set for x includes $2\frac{2}{3}$.