Answer
$(38,\infty)$
Work Step by Step
$2(x-3)\gt70$
Solve for x.
Divide both sides of the equation by 2.
$2(x-3)\div2\gt70\div2$
$x-3\gt35$
Add 3 to both sides of the equation.
$x-3+3\gt35+3$
$x\gt38$
This is written in interval notation as
$(38,\infty)$
where ( indicates the solution set for x approaches, but does not include, 38.